{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bias-Variance Tradeoff"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-17T18:00:25.660878Z",
     "start_time": "2020-06-17T18:00:25.657117Z"
    }
   },
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-17T18:00:26.895342Z",
     "start_time": "2020-06-17T18:00:25.663122Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "from numpy.random import randint, choice, normal, shuffle\n",
    "import pandas as pd\n",
    "\n",
    "from scipy.special import factorial\n",
    "\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-17T18:00:26.902911Z",
     "start_time": "2020-06-17T18:00:26.898121Z"
    }
   },
   "outputs": [],
   "source": [
    "sns.set_style('whitegrid')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate Sample Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-17T18:00:26.924881Z",
     "start_time": "2020-06-17T18:00:26.906316Z"
    }
   },
   "outputs": [],
   "source": [
    "def f(x, max_degree=9):\n",
    "    taylor = [(-1)**i * x ** e / factorial(e) for i, e in enumerate(range(1, max_degree, 2))]\n",
    "    return  np.sum(taylor, axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-17T18:00:27.451719Z",
     "start_time": "2020-06-17T18:00:26.927008Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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htPH8xP5cNaw9r87dzOX/WUBRhSfUYYmIiIiIHBElMy2U1WJwz9ndeXhMT+bnFjJ6yixydpaEOiwRERERkcOmZKaFu3BABm9fOxi3N8AFz8zh8+U7Qx2SiIiIiMhhUTIj9M2I47PfDyMzNYob3ljMI/9bjT8QDHVYIiIiIiK/SsmMAJAc7eKtawZz0cAMnvluA1e+uoDiSm+owxIREREROSglM7Kf02Zl0gU9eeD8Hsxev4dzp8xibZ4W2BQRERGRxknJjPzCJYPa8tbVgylz+zl3ymw+WLwt1CGJiIiIiPyCkhmpU/928Xx+8zB6pcdw29SlPDknnyqvP9RhiYiIiIjsp2RGDio52sUbVw3ihpEd+d+6Ui54Zg6b9pSHOiwREREREUDJjByCzWrhj6d342+npLC9qJLRk2fxhaZvFhEREZFGQMmMHJaB6eFMu3kYHZMjuf6Nxfzt05V4fIFQhyUiIiIiLZiSGTls6XHhTL12CJed0I5/z97EuOc07ExEREREQkfJjBwRh83Cfedk8dyEvmwqqODMp2by7sKtBINaZFNEREREji8lM1Ivp/dI5Ys/DKdXegz/994ybnrrJy2yKSIiIiLHlZIZqbe02DDeuGow/zeqK1+u2MWZT87kx42FoQ5LRERERFoIJTNyVKwWgxtP6sT715+A3Wow/oW5/POrNXj9mhxARERERI4tJTPSILLbxPLZzcO5oG86k79dz9jn5rJ+d1mowxIRERGRZkzJjDSYSKeNx8ZlM+XiPmwuKOesp2by0sxc/AFNDiAiIiIiDc/W0AWed955REVFAZCens6kSZMa+iWkkTu7VxoD28fzpw9WcP+0HL5cuYtHx2bTLjEi1KGJiIiISDPSoMmM2+0G4LXXXmvIYqUJSo5y8eKl/fjwp+3c+8lKznhyJned0Y2Jg9tisRihDk9EREREmoEGHWa2evVqKisrueKKK7j00ktZsmRJQxYvTYxhGFzQN52vbz2Rge3jufeTlUx4eT5bCytCHZqIiIiINANGsAFXO1yzZg1Lly5l3LhxbNq0iauvvpr//e9/2Gx1dwAtWbIEp9PZUC8vx1BVVRUul6vezw8Gg3y5rpQXFhYQDMLv+sQzuls0VvXSNGtHW2+kZVK9kfpQvZH6UL1pWjIzM39xX4MOM2vfvj1t27bFMAzat29PbGws+fn5pKam1rm/0+msMyhpfHJyco76s+reHcaNqOAvH63g+QX5zN3pY9IFPclKi2mgKKWxaYh6Iy2P6o3Uh+qN1IfqTdORk5NT5/0NOszsvffe46GHHgIgLy+PsrIykpKSGvIlpIlLjwvnlcsGMOXiPuwoquKcKbOZ9EUOlR5/qEMTERERkSamQZOZsWPHUlpaykUXXcStt97Kgw8+eNAhZtJyGYbB2b3SmH7biYzrl87z3+cy6okfmLkuP9ShiYiIiEgT0qCZhsPh4J///GdDFinNWEy4nYfG9OK8Pq350wfLmfjyj5zfpzV3n9mN5CiNXxURERGRX6dFMyXkBndI4PM/DOfmkzsxbdlOTn7se16amYvXHwh1aCIiIiLSiCmZkUbBZbdy22ld+fLWEfRvF8f903I488mZzFm/J9ShiYiIiEgjpWRGGpX2iRH8+7IBvHRpf6p8fi5+aT43vrGYHUWVoQ5NRERERBoZnZ0vjY5hGPymeyuGdU7khR9yeXrGer5dvZsbT+rIVcM74LJbQx2iiIiIiDQC6pmRRstlt3LzKZ355rYTObFLEo99tZaTH/uOD3/aRiDQYGu9ioiIiEgTpWRGGr028eE8N7Efb109mPhIB7e+s5Rznp7F3A0FoQ5NREREREJIyYw0GUM6JvDJjcN4/MJsCss8XPTiPK56dQHrd5eFOjQRERERCQElM9KkWCwG5/dJ59s7RvLH07syL7eQUU/8wD0fLWd3SVWowxMRERGR40jJjDRJLruVG0Z24vv/G8klgzJ468etjHh0BpM+z2FvuSfU4YmIiIjIcaBkRpq0hEgnfz+3B9NvO5EzeqTywsxchj8yg399vZaSKm+owxMRERGRY0jJjDQL7RIjePzC3nx1ywhGdEnkqenrGP7wDJ75bj0VHl+owxMRERGRY0DJjDQrnVtF8cwl/fjs98Po1zaOR/63hhGPzOD57zdQ5lZSIyIiItKcKJmRZqlH6xheuWwA718/hG4p0Uz6YjVDH/qWJ75ZS1GFzqkRERERaQ6UzEiz1q9tPK9fNYiPbhzKgHbxPPHNOoY+9C2Tvsghv9Qd6vBERERE5CjYQh2AyPHQu00sL/2uP6t3lfD0jA28+EMu/5m9ifED2nDV8A60iQ8PdYgiIiIicoTUMyMtSreUaCZf1Ifpt4/k3N5pvDF/Cyc+OoMb3ljEos17Qx2eiIiIiBwB9cxIi9Q+MYJHxmZz66ldeHXOZt6cv5nPl++iT0YsVw3rwKisVtisyvVFREREGjP9WpMWLTUmjLvO6Mbcu0/hb+dkUVju4cY3F3Pio9/x0sxcrVUjIiIi0ogpmREBIpw2fndCO769fSTPT+xH69gw7p+Ww+AHp3P3B8tYsb041CGKiIiIyM9omJlILVaLwaisFEZlpbB8WzGvzdvEhz9t560ft9K7TSwTBrfl7F6puOzWUIcqIiIi0uKpZ0bkIHqmx/DI2Gzm3/0b/np2d0qrvNzx7lIGT5rO/Z+tYkN+WahDFBEREWnR1DMjcggx4XauGNaey4e2Y25uAW/M28J/5mzipVkb6ZsRy7j+bTi7VypRLnuoQxURERFpUZTMiBwmwzA4oWMiJ3RMZHdpFR/9tJ13F27j7g+W87dPV3J6Vgrj+rdhSIcELBYj1OGKiIiINHtKZkTqITnKxTUjOnL18A4s3VbMe4u28smSHXy0ZAetY8M4v09rRmen0TUlKtShioiIiDRbSmZEjoJhGPRuE0vvNrHcc1Z3vlqVx3uLtvHMd+uZMmM9XVtFMTo7ldHZabRNiAh1uCIiIiLNipKZfYq3w/cPQ8AHfk/1pdb2GY9Acjdz3x8ehaXvQNAPwSAQrLlO6AQTP6wp98ls8HnMbcMAixUsNvMy/HbIHm8+tu5r+OGx6ser97E6wOYEmwtGPwn2MHPfJW9CWZ55//6LE+zhENcWkjPN/QJ+8FWZ9xsa9nSsuexWzslO45zsNPJL3XyxYiefLt3BY1+t5bGv1pKdHsPo7DTO7JlKWmxYqMMVkeamci94KsBbAZ7y6usK8JZDYleCSV3x+oP4d63EWD4VfFUEfB6C+y7V7d22E/9JwGH2KqfMuY/wXQswAh6MgB8IYgQDEAxSkT6c4lMexm614KzMJ+7N083HCWIEg2a7Y1jBYoFzpkCHE804F7wEi/9b/Vh1e2dYwWqDyFZwwQs17+nbB8x2bF87V/s6NRtSe5n7uUtxlG6BklhwRoI9wnxdEWn2lMzs4y6Bxa8e/PHKwprt8j1QsK7u/ezhB94u2WEmQ3WpKqnZLsuDrfMO/vrnTKnZXvgKbFtQ9369xsMFz5vbe9bBM4PAsIAjyvyCd0TWXJ/xcE3ik/sd5K+FsDgIizWvXfuuYw4el9QpKcrJpUPacemQdmwvqmTash18unQn90/L4f5pOfRKj2FUVgqndW9Fp+RIDCWbIi1XMGgmHhWFZlsTm4HPEUOZ24c7dzbkfo+/sphgZRFUlWB4SrF6Sqgywni502QqPH4qvX4eWn8eUYG618R6wjeWJ3wXAHCqZSEvOp46aDiX5owmnzgAXrb/xCnW5XXu9/3yBK5e/B0AKRQwz7X9oGX+8Z0FrAi3EOm0MbFiEaNLlta5X2VYKss3FhIXbic23EHiwlcwKvbUXejIP9UkMxtn0vHzi+DzWo/bI6rbuwi44iuITDLvn/cc7N1Y3cbFHngdnWYeFBSRJkPJzD5RKXD242ZviMUOVru5ba3e3vejH2DoLdDv8uqjSdU/Qg0DMMzn1HbzT9UbBgQDZm9OwG/2AEUk1ezX+TS4/H/m/QGfuZ/PYx6R8lWZMeyTfRG0PQG8VTWP+6rMI3D7vtgBfJXm0StfFbiLzUttPnfN9ooPDp7MteoBI18yt4NBeO1884s/IgnCEyEioWY7qZt5W/ZrHRvGNSM6cs2IjuTml/G/lbv4amUej365hke/XEOHxAhOzWrFad1T6NMmVpMHiDR13kooz4eKQgLlBVQU51MaDGN70nAKyz2UF+UzYMFt2D17cXqKCPcX4wjWHPT6feAOPvX0BeAm64fcYX+3zpcpDkbwydIdhNutuBxW8o14PBYbHosLryUMn9WF3xqGzxZGh8Rsbm7VGbvFIN4TwYI9HoJWJ1idGDazvTNsTgybgwdShxG0uQgGwVH6IHN85QQMO0HDShALQQPAIGgJ51+ORDy+AD6vh3cqPsftB18giMcXxBcI4PV68fp8BALRpHrtlHt8vGc9nc/C++H1ePB4fXi8Xqz4sePD57Ey5/m5+9/jJdZzSLC5iXH4ibYFiLH7ibb7ibL62VPWGv/qPJKjXKS7A4RFpuMMeqp7pWpdwOzN2Wf1Z7BpZt2fXeY5cOFr1X/gbfDiKWZ7F55gXiISq9u9ROh2NsS0Nvf1VNT8XhCR40rJzD5hcdD/isPbNzrVvByOmPTD2y8y2bwcjgFXHt5+aX3gnjxzuJynFNxl4Cmrvi6FhI41+7YfYSZnVUXmUIXKoprt8Pia/TzlkDvj4K957tPQZ4K5vfRtmP3UgclORJL5PqNSzASuhfVIdEiK5IaRnbhhZCd2FVfxdU4eX63cxcszN/L897kkRjoZ0SWRkV2TGd4pkbgIx6ELFZFjz+eB8t1Qtpuqop2UF+ygqmgnq9PHscMdRn6pmyFrHiJ775eEB8r3P80CRAIrA9240PNXAFy4We368YDiPdgpt8ZQaY9hSJs0OrbqTJTLTodyD+v3JmILj8EWHocjMhZXZBxhUfHERMSxJLFTrVKWHDT8zANudQZGHuYbTznM/QA6HXqXOgSDQco9fooqPBRVeNlb4WFvhZeiCg97y7uwt8LDlgoPhRVe8kvd7C6qoqDcA1uAWQurSzGwGI+QEu0iPSGcNnEO2kcbtI0Kkh4eIKnCQqojiNViwOAboOsZtdq5Wu1dUreawCoKoWyXealLanZNMvPtP2DeM+ZIhn1tXUT1dVI3GHxdzfNKdpj72PT9LtIQlMy0BFZb9fCxuIPv03OsealLMAirV5vbNqd5TlB5QfWRxz3mdXmBuR1bq3t+7ybYvbLuMl0xcNeWmtsvjzKHWUSlmGOma1+36gHx7Y/oLTcFKTEuJg5uy8TBbSmu9DJj9W6mr97Nt6t388Hi7RgGZKfHMrJrEid2SaJXeqzZEItIw/FWQskOfMU7KM3fQuWereQ70smJGUF+qRvb7mVcuu4PRARK9z/FVX0BuHZuHCuCHbAY0MZVzpBgOT5slNpiqbLH4XHE4nfFEx3flf/2GUh8hIO4CAfuXe/hjE7cf8TfYQ/HYRjEARcfEGB74Pzj9dcICcMwiHTaiHTaSP+VZqo2jy9Afpmb3SVV5JW42V1axcrc7XhtEWzbW8nc3CI+KKkyT2cFYDc2i0FqrIv2iYl0SGxLx6QIOmZE0iEpklbRzl8O903uDrflmElO+Z7q9q66rSvfA7EZNft6KwEDqorNS+GGmsda96tJZvw++Fd3IAhh8dVtXTJEVl/3HGsmSQDuUrP9dUa1uAN/IkdCyYwcWu0vUasdOp58eM8beA10PbM66Skwv/yrj2xisR64b94Ks9do17JflnPSn+HEP5rb66fDl382e8ai0szxzdGpEN0aolLNxsfa9Kp1TJid8/q05rw+rfEHgizdVsT3a/L5bm0+T05fxxPfrCMu3M4JnRIZ0iGBwR0S6JgUoXNtRA4mGDR/hJbsoLJwG6W7t7Au7Vx2lXrZVVLF8KV30aFkHpHVSYoNiKu+LPCfwF1e81d1D1cZ11OKHwtl1jgqnAl4XYkEIpKxRLXi8V4nEdu6M/ERDqxVQ8yywuKIq+N/84DekdhTj+nbb+4cNgutY8NoXWsylZzYSjIza/7KHl+AncWVbC2sZOveCrbtrWBLYSWb9pQzdVMhFR7//n0jHFY6JEXSMSmCrinRdEuNontqNLLEpf0AACAASURBVMlRqRjRaYcOaPQTcNY/zTq3v73LN9u72uedVhWbB+rKd5vnR1UWwu5VNY+n9a5JZhb+G77+i3nuz762bl+7F5N+4CiNfRMuiLRADfqrLxAIcN9997FmzRocDgf3338/bdvqRLoWKzz+wCFqv+bGH82u/NK8A6/Ldps9M/sUb4X8HPNSl7u3gzXS3P7f3ebzayc70a3NhiCyVaNNeqwWg74ZcfTNiOPWU7tQWO5h5rp8vl+Tz+wNe5i2bCcAiZFOBneIZ0hHM7npkKjkRloIvw/K8ggUb2cvUeywpLGrpArf5vlk5TxOeGUe0d58HJjnoYRVX86qiiCfWAAyXUX0ohQfNkrsiVS6WuGLSIHoVLLTBzKn18kkRDpwWoDKs7CGxRNjsfCr06Ec7vedHBcOm4W2CRF1TosfDAbZVVJFbn45ufllbMgvZ0N+GfM3FvLRkh3794sLt5OZGk23lGgyU6PITI2ma0oUdmsdM6VZrNVDyxIhqWvdQUUkwB1rzHNnKwqgdJc5AVBZnrmd2rtmX7/HnFTIW25OOlR74qGotAOTmSd6meflRqfWauuqk5/WfQ8cVi7SzDTor7lvvvkGj8fDO++8w5IlS3jooYd49tlnG/IlpLmKaV0z9vjX9BhjdtmX7ISS7VBafV2y0zzi5Yys2XfdV1Cwvu5y+l1mTncN5nC4uc/8rLcnzWwQHOF1P/84io9wcG7v1pzbuzXBYJBNBRXMyy1gXm4BczcU8Fl1cpMU5WRAOzMJ6pMRR1ZaNC679RClizQynnLsZdup8nYhr6SKXcVVxM57BEfhGhwVu4hw7ybKvxcrASzAe76zmOS7BICBxlqmOhfvL6rSEkGZI4mqsBQCkSk8O7APCaltSYl2EVbZG6wObOEJxB9qCt+IxGP4hiUUDMMgNSaM1JgwhnY68PMtrvCyelcJOTtLWL2rlJydJbz542aqvAEAnDYLWWnRZFevMdYrPZZ2CeFHdjDJYj30ubIj7jCXcHCXmOfZ7LuU7jxwdEPAb7aDQT+UbPtlOac9ACfcZG6v/hxmPFCd8NQ+0Ffd7iVlakpraXIaNJlZtGgRw4cPB6B3796sWLGiIYsXMccOp/Q0L4cy+iko2gKl+xqBWglQdK2JGfLXwI/P112GKwaunVkzVeeqT8yjafsTnjTzaOxx6hExDIP2iRG0T4zgooEZByQ3czcUsGjzXj5fbp6s6rBa6J4WTZ+M2OoEJ5bWsWHqvZHQCJizOQYtNkrdPgo3LMZY9TGB4u1YynbhqtxFlCef8GA57YIWurz/3+p0BT5xfElXy8aaojAoscZT4UqmX3pXnu/Vj5RoF6mugfiL+2ONMYfkhDmjqL2i0wHjBByHcfBEWqSYcDuDOiQwqEPNzJz+QJDNBeWs2FHCsq1FLN1WxNs/buXfszeZzwmz0ys9hj5tYhnQPp6+GXFEOBvgJ5ZhmO2QK+bAWVVrs1jhzzurD+7VPtBXvZ1Sa3RDYa45rDuvjt9nhgXuyYfq/zs+u9U8b+fnPT3RqeY5Po10dIO0PEYwWHN63NH685//zGmnncaJJ5oLY40cOZJvvvkGm63uCr9kyRKcTmedj0njUlVVhcvlOvSOTUWt8cX2sm1EbZ+JrTIfW8Vu7JX52Cp3Y6vcgyXgZfWYGQRt5k+ijBk3ErF70QFFBSwOfGFJlLQ5ifxs8+iX4a0gcuccfOHJeMOS8LkSj9uUnYUVPnLy3azeU8Xq3W7WFbhx+81/82inhY7xTjomOOgYZ16nRdmP2cQCza7eyK8KBIPYcr/GV7yLYFketorduNx7iPQWEOMv5BnrBJ51j6LKF+Qcyxyeckz5RRke7BRb43mp42QiouJICLfSrWwesfYA1qhW5v9TWKI5+6JILcf7+8YfCLKlyMOaPW7WFrhZk+9mU5GHQBAsBnSKd9KjlYserVxkJbuIdoW+p9ziKcNRtq26jcs327sKs80zAj62nFwzmqbTJ6OxV+bXWU5Bl/Hs7nMLAI7ijcStfx9fWBK+sCS84cnmdVgSwZ+vvdcIqZ1qWmqfF7dPg7YGkZGRlJfXTEkZCAQOmsgAOJ3OOoOSxicnJ6cZf1aZMKCOk3GDQagooFvtISYlF8KuzJqentIdWKqKcZRvJzHcSuK+v9HOZfDBPQeWF5Fcc2TrtPth35Sqhbng95pHv1zRDfKOhtba9voDrNlVyk9b9rJiewkrdxbzcU4J3uoEJ9xhpVtKFFlpMXRJiaJzciSdkyNJiDz6Aw3Nu960ICU78GxfRln+VqoKt+ErMo/8Oivy8ATg1tin2FVSRV5JFbNs/6KVUVRnMV2ivVzcoR2pMS46WGLZnm8hLCGdqOS22GNbQ1QajvB49qxezd0H1Jt+x+d9SpMWiu+bHsCZtW6XuX0s3ryXHzcW8uOmQj5bW8QHq8w13jonRzK4QwLDOycypGMCUa5QrUkz4KCPHPDXc75cPYx7R01PT/VIh4T22STs+1uvWAXr36u7QGcM/H5RzYKly98zh4TX7ukJTwjp0Da1U01HTk7d50s3aDLTt29fZsyYwZlnnsmSJUvo0qVLQxYvcnwZxi/Hyg+69pf7ecrNL/naPS9Wu7mg2r5GoCzPnL2mfDfsXAqn/aNm3+8ehmVvm9uOSDOp2TddZ+t+MORG87FAwJzqOrJV9Zf/4R3ls1st9GgdQ4/WNacue3wB1u0uZeWOElbtKGHljmI+/Gk7ZW7f/n3iIxx0qk5sOidH0ik5irYJ4aTGuLDVdfKrNC0BP8EdS6jcu52ygh249+7EV7wTo3w3top8psVN4Af6sLvEzRklU7mN16nr9HYfVuyWIAPaxdMq2sXuvPOosvmxx6UTkdiGyKQMc9hXVCpnOMI5Y/8zO3Bg2i3S9EU6bYzoksSILuaPd7fPz7Jtxfy4sZD5Gwt5f/E2Xpu3GavFoE+bWIZ1TmR450Sy02Mb3/dqhxMPb7+UbDj9oQPP6dm37Sk9cFmIec/A9gNHN2B1mG1e9kVw0p/M+yoKzcVNI5Jrzi2KSNbaPFKnBk1mTj31VGbPns348eMJBoM8+OCDDVm8SOPkiKjpZdknORPGv1Fz2+8zE5l9X/AxbWoei0iE+I7VX/xlB85a4y6rSWYqC+G5Yea2YTEXXYtsVf1F3woGXw+pvczHi7ebR7/CE8xzen42xM1hs5CVFkNWWk2CEwwG2VlcxbrdZazLK2X97jLW7S7j06U7KKmqSXJsFoP0uDAyEiLIiA+jbXwEGQnhtE0Ip3VsWAiPNgpAsHAjlTtzKC/Mw12ch68kj2CZmaDsNWJ4PvFudpdWUVBSwTflYwk3gtQ1EKTSs47KuF50TIokKTGbLYVr8Uea09S64lsTmZRBRGIbbNFpvBXZqtZ5Y08ez7cr0qg5bVYGtItnQLt4bjzJPJC0eMteZq7LZ9a6Pfun3o9y2hjSMYGRXZM5JTOZVtFNaNhTYqdftoFgjm6oKjrw3JoeY8wlFGqf01NVZJ7f6qkZ2UP+Gvjk978sMyzOTGrGv1nzmuunmzPB7WsPI5LMds+m0xhaigZNZiwWC3//+98bskiR5sFqq5k04OdGPWBe9n3xl1T35JTtNpORfTxlZiNQlle9jkF1T09e9ePZ42v2/fEFmP1EzW1nTPVU2QnmlKHnPVPz2NJ3wBGBEZ5AWngCaa3jObFjm/0JUDAYJL/MzfrdZWwtrGBzQQWbCyvYUlDBki17D0h0wDwymRLjIjXGhStYReZWCykxYaTGuGgV7SIx0lw0sM6pTcWsB54y8HsJhsVR6fVTUlRIcMUHeEt3EygzF+wzKgtxuAtxefYyOf5u5nk7U1ju4ZrKl7nCOq3OBMUaTCTHW0JSlJOsNgls2tEPq91FMDIZa3QKzthUIhLSCY9P5ZbELtwSsa/+9QOuOY5/BJHmyWGzMLh6rbD/GwV7yz3M2VDArPX5/LB2D1+tyoMPoVd6DKd0a8UpmclkpUU3zYlbDOOXi3XvOzhXm6fCTG5stRI4Vwz0nlAzbXXZbnPdnsq95sVea2qPha+YvTg/54iELqfD2JdrXmf632sO8lVfO4uKoTTOPECoSQ2aJH1qIo3Fvi/+sDho1f2Xj8e1gxvmmtt+b82CbGW7zS/75FrPcUVDUjcz6akoAHexedm7EXzumv2CQfj4BggcmJAA5voGp0/C6HcZyVEukvPnw+b/mmUnx0BGDDijKbdEkudxsiKsPzuL3ewsrqK0MI8dpSUsKfQyfcN6AnVMMxITZichwkF8hIOESAfxEU4SIhzEhtuJctmIctmJdu3bNm9HuWyNf7ppnxvKdhNwl1FVUYK7vBh3eSneylI8laVsbj2a0oCdcrefzmueJ6lwIXZPMQ5vCS5/GWGBMmz4+d4YwFWe2/D6g7SikPmuOw/6kvaqPaTG9yQrLZpWlX3ZWrSXYHgCRkQC9ugUnHGpRMSnkRaXzrcH1K3px/7vISIHFRfh4KxeqZzVK5VgMMjavDK+ycnjm5w8npi+lse/WUtajIuTM5M5rXsKQzomNL8DQY7wX66D06o7nPf0gfcFAuYIhbI8sxdmnw4jzRES+5Kefe2ep+zAtq08H+b/crmQDgBfAhe/C11OM++c/zwsm2q2dy6zrTNnlYs2z/Ppc0lNAXkrweo034c93IzlOE34IyYlMyJNkdV+8J4eMNcmGH67uR0ImIlMRaH5BV97AkO/B3qNr/ny35/8lIC3whzLvE/+Gljxy5M8I4AOhoUOfymoOYnz2WuhYDkAwXAnQXsEXmsYXouLdSln8kOr31FQ7sa6dwO/yXuF8kILpT4rZT4Dd9DOHqzsCNp5w/8b9lQvUzjQyKGtJQ+LYcVht2K1WrFZrdisFirs8awJ74vLbiXMFqS/ez42qwWLYWAliM0IYCWA1QiyI7oXpa7WWC3QqmId6aVLMYIBc62GoA+r34M14MYfNPg27RoCwSD+QJCzt/6TaM8uLH4P1oAHa9CDPeDGGajkc8dpvGYbi9sXoI9nEVMC92MBwqsvtV3ujmBL0GyIp9gXMsA67xd/U7fhIiEqjCszOxATZifOCVvXjMEIT8AalYQzOpmIuBSc0UkQkcDdUam1hlRkA3cctOqISONkGAZdU6LomhLFjSd1Ir/UzYw1u/lmVR7vL9rO6/O2EBdu57TuKZzVK7V5Jja/xmKpWZS0toFXm5fagkGzHQv4a+5zRsGoB3/W3hXi3rsDp68UwmJr9i3YANsX1h1HQqcDk5mXTjUXNj0gVruZ3JzyVxhwlXlf7vcw+0mzV8nmNBMgq91sZ21OOOXemnOClr8H5XvM21aHObQcw7yObw9tBpr7VRXDhhnm/YZRs1/Qb7739iNqFvPd+iPkrzYTvIDfXGQ14Ddvh8dDnwk1f7vP7zB/H4x+6rgtPXE0lMyINHcWS02Pz8+Pftmcvzz6BTVDnWpPf9vxZDj/BbOBqCoyv0SrSszrgO/A2WjsLrBHgLccw+/G8LtxAk6gT1aAPr/pbO63qRj+813N837W6XLymGvJd7Wj1O0l+8fX6bDz8+r4AF/1BVjj6MFfwvqyt8LDXk8FV5X85aB/jv8L3MjH/uH4g0EuM77gUvsbde5XGXRw064zsVgMrIbBVf4fac/2Ovdt6yglKzUGp81CB08GJZuS8NnC8dkiCNgjCDoizaF8zkie6zcER3wbIp02IgsT8XtLsIbFmg2pKxZc0ThtTnpgzpS035BXDvqeRKT5SYpy8tv+bfht/zZUef38sDafact3Mm35Tt5ZuJXYcDujuqdwZq9UTmhpic2h7Fufp7bw+DqHueXWNZvZsFug59jqNq66vXNXt3e1yw0GIaGDeb6Pp8I8COgph4DX3Lf2wcOizbDhV3rDT7m3Znv+c7BtQd379b6kJpkp2grv/u7gZV75TU0ys+wdWPBS3fslZ9UkM4YBC/9tJkRn/atJ9DIpmRGRXzIM8yhWbQc7ybMuV30DQM6qVWR2alf9BV9mftnXbggSO8MFL5pHgHxuc/ic311920N2106w77wN329gWywQNI8oBfddB+ia2IWpJw0x9/NWwXtn1jQiFqt5tMpiBcPKowPO5tG2JwAQzA0nuMqFUf0YFqs5btvmIszuYtkJo2piXT/ZjGvfETWby9x2RnJyWBwn739f2cCFB/3TpNS+ETPo8P6eItKiuexWTstK4bSslP2Jzee1Epv4CAeje6VyQd90eqXHNM1zbBqTXxv5UJthwHWzDrwvGDTbCk/5gecBdTzFHMrmrahu6zzV7Z3XbP9qJw1Z50Nan5p2sXa7l96/Zj9nFGSOrm4PgzX7GVbzAGPt9jZ9IPiqatq62tc/f69nPlo9Y2rTqEcNumjmkdLc3k2HPiupD9UbqQ/VG6mPllhv9iU2Hy/dwder8vD4AnRIiuCCPq05r09r0uMa/6KVodYS601TdbDPSj0zIiIiIk1Q7R6b4kovXyzfyQc/beexr9by2FdrGdQ+njH90jm7VyrhDv3kk+ZJNVtERESkiYsJszN+YAbjB2awtbCCj37azoc/beeP7y3jH5+u4tw+aYwfkHHAAsoizYGSGREREZFmpE18OL8/pTM3ndyJhZv38tb8Lby7cBuvz9tCr/QYLhqYwejsNCKd+hkoTZ+mvhARERFphgzDYEC7eP51YW9+/NNvuG90dzy+AHd/sJxBD3zD3R8sZ/WuklCHKXJUlJKLiIiINHMx4XYuG9qe353Qjp+2FvHW/C18+NM23vpxCyd0TOCyE9pxSmYrrJamMYOVyD5KZkRERERaCMMw6JsRR9+MOP50ZibvLNzKf+ds4prXFtEmPozfDWnHuP5tiAlr/OuLiICGmYmIiIi0SHERDq47sSM//PEknr2kL6nRYdw/LYchk6bzl49WsLmg/NCFiISYemZEREREWjCb1cIZPVM5o2cqK7YX8+qcTbyzYCtvzN/MmT1Tue7EjpoFTRot9cyIiIiICAA9Wsfw6LhsZt15EteM6Mj3a/I5e/IsJr48n9nr9xDCtdZF6qRkRkREREQOkBzt4q4zujH77pO58/Ru5Ows5ZKX5nPu07P5fPlOAgElNdI4KJkRERERkTpFu+xcP7Ijs+48iQfP70lJpZcb3ljM6U/+wLRlSmok9JTMiIiIiMivctmtXDwog+m3j+TJ8b3xB4Lc+OZiznhypnpqJKSUzIiIiIjIYbFaDM7t3Zqvbj2RJ8f3xhsIcMMbiznzqZl8oaRGQkDJjIiIiIgckX1Jzde3nsgTF/bG4wtwfXVSMz0nTxMFyHGjZEZERERE6sVqMTivT2u+unUEj1+YTZXXz5WvLuTCF+axeMveUIcnLYCSGRERERE5KjarhfP7pPP1bSfyj/N6kJtfzgXPzOG61xaxIb8s1OFJM6ZFM0VERESkQditFiYObssFfVrz8qyNPP/9Br7OyePCAW245ZTOJEe7Qh2iNDPqmRERERGRBhXhtHHzKZ35/o8nMXFwW95duJUTH/2Ox79eS6XHH+rwpBlRMiMiIiIix0RipJP7zsli+m0jOTkzmSenr+OUf37HJ0t3aJIAaRBKZkRERETkmMpICOfpi/sy9dohxEU4uPmtn/jt83NZsb041KFJE6dkRkRERESOi4Ht4/nkpmE8dEFPNu4pZ/SUWdz1/jLyS92hDk2aKCUzIiIiInLcWC0G4wdm8O0dI7l6eAfeX7yNkx77jpdnbcTnD4Q6PGlilMyIiIiIyHEX7bLzpzMz+fKWEfRvF8c/PlvFOVNms2RrUahDkyZEyYyIiIiIhEyHpEj+fdkAnr2kLwXlbs5/Zjb3fLSc4kpvqEOTJkDJjIiIiIiElGEYnNEzlem3j+TyE9rz5vwtnPLP7/l4yXbNeia/SsmMiIiIiDQKkU4bfx3dnU9uGkbrWBd/eHsJE16ez8Y95aEOTRopW0MVFAwGGTFiBO3atQOgd+/e3H777Q1VvIiIiIi0ED1ax/DBDUN588ctPPK/1Zz+xA/ccVpXrhjWHqvFCHV40og0WDKzZcsWsrKyeO655xqqSBERERFpoawWg4mD2zKqeyv+/NEKHvg8h2nLd/Lo2F50bhUV6vCkkWiwYWYrV64kLy+PiRMncvXVV5Obm9tQRYuIiIhIC5Uc7eKFif14cnxvNheUc9ZTs3h6xnq8msZZACNYj7Oq3n33XV599dUD7vvrX/9KQUEBZ5xxBgsXLmTSpEm8//77v1rOkiVLcDqdR/ryEgJVVVW4XK5QhyFNjOqN1IfqjdSH6k3LUFTp55n5e5i5uZxO8Q5uHZpEh/j6/5ZUvWlaMjMzf3FfvZKZulRWVmK1WnE4HAAMGzaMmTNnYhgHH9eYk5NTZ1DS+OizkvpQvZH6UL2R+lC9aVm+WL6Tv3y8gqIKLzed3IkbT+qE3XrkA45Ub5qOg31WDTbMbMqUKft7a1avXk1aWtqvJjIiIiIiIvVxRs9Uvr71RM7ulcoT36xj7HNzyc0vC3VYEgINlsxcc801LFiwgAkTJjBp0iQmTZrUUEWLiIiIiBwgLsLBE+P78PTFfdm0xzyX5vV5m7UuTQvTYLOZxcTE8MILLzRUcSIiIiIih3RWr1T6tY3j/95byj0freDb1bt5aExPkqN0LkxLoEUzRURERKRJS4lx8erlA7lvdHdmr9/D6U/M5MuVu0IdlhwHSmZEREREpMmzWAwuG9qeaTcPIy3WxbWvLeLPHy6nyusPdWhyDCmZEREREZFmo1NyFB9cP5RrT+zAG/O3cN7Ts1m/uzTUYckxomRGRERERJoVh83C3Wdk8p/LB5Bf6mb05NlMXbBVkwM0Q0pmRERERKRZGtk1mS/+MJw+GbH88f1l3PLOEkqrvKEOSxqQkhkRERERabaSo128duUg7jitC58t28nZk2exYntxqMOSBqJkRkRERESaNavF4KaTO/P2NYPx+gJc8Owc3lmwJdRhSQNQMiMiIiIiLcKAdvF8dvNwBrWP5873l/P47HzNdtbEKZkRERERkRYjPsLBfy4fyM0nd+Kr9aWMeXYOWwoqQh2W1JOSGRERERFpUawWg9tO68rfTklha2EFZ0+eyfScvFCHJfWgZEZEREREWqSB6eFMu3k4beLDufLVhfzzqzUEApq+uSlRMiMiIiIiLVab+HDev/4Efts/ncnfruea1xZq+uYmRMmMiIiIiLRoLruVh8f04u/nZjFjTT7nPzOHjXvKQx2WHAYlMyIiIiLS4hmGwaVD2vH6lYMoKHNz7pRZ/LA2P9RhySEomRERERERqTakYwKf3DSMtNgwLvv3j7w0M5dgUOfRNFZKZkREREREatl3Hs2p3Vtx/7Qc7nh3mdajaaSUzIiIiIiI/EyE08azl/Tjlt905v3F25jw0nwKyz2hDkt+RsmMiIiIiEgdLBaDW37ThSkX92HZ9mLOf2Y2G/LLQh2W1KJkRkRERETkV5zdK423rh5MWZWPC56Zw9wNBaEOSaopmREREREROYR+beP48IahJEY6uPSV+by/aFuoQxKUzIiIiIiIHJaMhHA+uGEoA9rFc/u7S/nnV2s001mIKZkRERERETlMMWF2/nP5QH7bP53J367nD28vwe3TTGehYgt1ACIiIiIiTYnDZuHhMb1omxDBo1+uoaDczXMT+hHlsoc6tBZHPTMiIiIiIkfIMAxuPKkTj47txbzcQsa/MI/dpVWhDqvFUTIjIiIiIlJP4/q34aXf9Sc3v5wxz85h457yUIfUoiiZERERERE5Cid1TeatawZT7vYz5tk5LN1aFOqQWgwlMyIiIiIiR6l3m1jeu24I4Q4r41+Yx3drdoc6pBZByYyIiIiISAPokBTJBzecQPvECK56dSEfL9ke6pCaPSUzIiIiIiINJDnKxTvXDqZv2zhueWcJb87fEuqQmjUlMyIiIiIiDSjKZee/VwxkZJck/vThcp7/fkOoQ2q2lMyIiIiIiDQwl93K8xP7c1avVCZ9sZrHvlxDMBgMdVjNzlElM19//TW33377/ttLlixh3LhxjB8/nilTphx1cCIiIiIiTZXDZuGp8X0YP6ANU2as52+friIQUELTkGz1feL999/PrFmzyMzM3H/fvffey+TJk2nTpg3XXHMNK1euJCsrq0ECFRERERFpaqwWg0kX9CTSaeOlWRsprfLx8Jie2KwaINUQ6v1X7Nu3L/fdd9/+22VlZXg8HjIyMjAMg2HDhjF37tyGiFFEREREpMkyDIM/n5XJrb/pwvuLt/GHt5fg9QdCHVazcMiemXfffZdXX331gPsefPBBzjzzTObPn7//vrKyMiIjI/ffjoiIYOvWrb9attvtJicn50hjlhCoqqrSZyVHTPVG6kP1RupD9Ubq43jXm9NaQ1n/eF5cuJO9xcXcNaIVdqtx3F6/OTpkMjNu3DjGjRt3yIIiIyMpLy/ff7u8vJzo6OhffY7T6TxgmJo0Xjk5Ofqs5Iip3kh9qN5IfajeSH2Eot78ORNSUzby989WMXlxBU9f3BeHTUPODuVgSWeD/eUiIyOx2+1s2bKFYDDIrFmz6N+/f0MVLyIiIiLSLFwxrD1/PzeLr1flcf3ri3D7/KEOqcmq9wQAdfnb3/7GHXfcgd/vZ9iwYWRnZzdk8SIiIiIizcKlQ9phMQzu+WgF1762iOcm9MNlt4Y6rCbnqJKZQYMGMWjQoP23e/fuzdSpU486KBERERGR5m7C4LbYLAZ3f7icq/+7kBcv7a+E5ghpgJ6IiIiISIiMH5jBw2N6MWv9Hq56dSFVXg05OxJKZkREREREQui3/dvw2Nj/b+/uY6usDjiO/57evtpSEAWqMGk2KmCx1IK8DAoIZbAacaTCrdBKB3MjllFGV1wQCtug0FUYe7EwUaG6bmAV1C2bCITJIAYEuZqyilrUqbODIgJF2tuXuz9MmqEipS2c55Tv568+T5qnv+SepPnd85xzBmpvZbV+9BRraC4F8nhoSgAACfJJREFUZQYAAAAwLG1QL62YfKtefuu4sksPyd/AOTQtQZkBAAAAXCB9yE36xd3x2lHxX+VsOqQGDta8KMoMAAAA4BL3DY/Vojv76+/lVcote12NTQHTkVytXbdmBgAAANA2P0j+puoamlS07YhCPEH6VVqCgoIc07FciTIDAAAAuEz2HX3kb2jSb3a+rdDgIC3/3gA5DoXmiygzAAAAgAvNS4mTv7FJa/9RqWtCPHrozv4Umi+gzAAAAAAu5DiOFkzoq8/qGvTYnnd1bWSosu/oYzqWq1BmAAAAAJdyHEdL7orXqXP1Ktp2RNERIcoc1tt0LNegzAAAAAAuFhTkqGjKQJ2pbVD+8+WKDg/W3Yk9TcdyBbZmBgAAAFwuxBOkR6Yn6fbYrsp9+nXtevOY6UiuQJkBAAAALBAe4tFjMwar3w2dNPuPB7X/3U9MRzKOMgMAAABYIjo8RCXfH6Ke10Zo1sZXVf7RKdORjKLMAAAAABa5LipMT80aqk7hwcrasF//PvGZ6UjGUGYAAAAAy/TsEqEnZw1RfWNAMzbs1ydn/aYjGUGZAQAAACzUp3snPT5jsP7z6TnN3PiqzvkbTUe64igzAAAAgKUGx3bVb++9TW98+Kl+/OfX1NDYZDrSFUWZAQAAACw2IT5GP797gHZUHNPi58sVCARMR7piODQTAAAAsFzmsN6qOnVOj+yqVEx0hHJS4kxHuiIoMwAAAEAH8NPv9FXVqTr9esdbiukcJu/tN5mOdNlRZgAAAIAOwHEcrUy7VdU1dVq4tVw9osM1pm9307EuK9bMAAAAAB1EiCdIxdOT1LdHJ8350yG9WXXadKTLijIDAAAAdCCRYcF6PGuwIsM8mrXxgI6dqTUd6bKhzAAAAAAdzA2dI/T4jNv1yVm/7i850GHPoKHMAAAAAB3QgJ6dPz+D5qNT+slmn5qaOt6WzZQZAAAAoIMaf0sPLbrzFr14uEqFL75pOk67YzczAAAAoAObOSJW71Wf1R92H1Xs9ZG6d0jH2bKZMgMAAAB0YI7jaMldt+iDk59p0XPl6nVthJLjupmO1S54zQwAAADo4II9QfrdvbcprnuUsktf07vVZ01HaheUGQAAAOAq0Ck8ROvvGyxPkKP7nzyg07X1piO1WZvKzPbt25Wbm9t8/dJLLyklJUWZmZnKzMzU/v372xwQAAAAQPv4RtdrVDx9kN6rPqt5m3xqtHyHs1avmVm2bJn27Nmj/v37N987fPiw8vLyNGHChHYJBwAAAKB9Df/WdVo6KV6LnitX0bYj+tl3+5mO1GqtnplJSkrS0qVLz7t3+PBhPfvss5o2bZpWrlyphoaGtuYDAAAA0M4yhvVWxrCbtO7lSj136CPTcVrtojMzZWVlKikpOe9eQUGBUlNTtW/fvvPujxgxQikpKerVq5eWLFmiTZs2KSMj44LPrqurU0VFRSuj40qqra3ls8IlY9ygNRg3aA3GDVrjah833jiP3ngvXHllr0s1x9T3+nDTkS7ZRcvMlClTNGXKlBY9LC0tTdHR0ZKkcePGadu2bV/7+2FhYee9pgb3qqio4LPCJWPcoDUYN2gNxg1ag3EjbYzto0m/36MV/zyhv8wZqe7R7iw0Fyqd7babWSAQ0KRJk1RVVSVJeuWVVxQfH99ejwcAAADQzrpGhuqxGYN1prZBP3zqoGrrG01HuiTtVmYcx9GyZcs0Z84cZWRk6Ny5c5o6dWp7PR4AAADAZdAvJlqrpybK98GnemhruQIBe3Y4a/VuZpI0dOhQDR06tPl65MiRGjlyZJtDAQAAALhyJg6I0byUOK3Z8bYSenXWjG/Hmo7UIhyaCQAAAEBzx8YppX8P/fKv/9K+oydMx2kRygwAAAAABQU5Wu0dqN7XXaOnD3xoOk6LtOk1MwAAAAAdR3R4iP6Wk6zGJjvWzVBmAAAAADQLC/aYjtBivGYGAAAAwEqUGQAAAABWoswAAAAAsBJlBgAAAICVKDMAAAAArESZAQAAAGAlygwAAAAAK1FmAAAAAFiJMgMAAADASpQZAAAAAFZyAoFAwNQf9/l8CgsLM/XnAQAAAFigrq5OiYmJX7pvtMwAAAAAQGvxmhkAAAAAK1FmAAAAAFiJMgMAAADASpQZAAAAAFaizAAAAACwEmUGl6SyslKDBg1SXV2d6SiwwJkzZzR79mxlZGTI6/Xq0KFDpiPBpZqampSfny+v16vMzEy9//77piPBAvX19crLy9O0adN0zz33aOfOnaYjwSInTpzQ6NGjVVlZaToK2iDYdADYo6amRoWFhQoNDTUdBZbYsGGDhg0bpqysLB09elS5ubnaunWr6VhwoR07dsjv92vz5s3y+XxauXKl1q5dazoWXO6FF15Qly5dVFRUpJMnT2ry5MkaN26c6ViwQH19vfLz8xUeHm46CtqImRm0SCAQ0OLFizV//nxFRESYjgNLZGVlKT09XZLU2NjIIbm4oIMHDyo5OVmSlJiYqPLycsOJYIOJEycqJyen+drj8RhMA5sUFhYqPT1d3bt3Nx0FbcTMDL6krKxMJSUl59278cYblZqaqn79+hlKBbf7qnFTUFCghIQEHT9+XHl5eVq4cKGhdHC7mpoaRUVFNV97PB41NDQoOJh/U7iwyMhISZ+Pn7lz52revHmGE8EGW7ZsUdeuXZWcnKxHH33UdBy0kRMIBAKmQ8D9xo8fr5iYGEmSz+dTQkKCSktLDaeCDY4cOaL58+drwYIFGj16tOk4cKkVK1Zo4MCBSk1NlSSNGjVKu3fvNpwKNvj444+VnZ3dvG4GuJjp06fLcRw5jqOKigrFxsZq7dq16tatm+loaAW+8kKLbN++vfnnsWPH6oknnjCYBrZ45513lJOTozVr1jCrh6+VlJSkXbt2KTU1VT6fTzfffLPpSLBAdXW1Zs6cqfz8fA0fPtx0HFji/7+MzczM1NKlSykyFqPMALhsVq1aJb/fr+XLl0uSoqKiWNSNrzR+/Hjt3btX6enpCgQCKigoMB0JFli3bp1Onz6t4uJiFRcXS5LWr1/Pom7gKsJrZgAAAACsxG5mAAAAAKxEmQEAAABgJcoMAAAAACtRZgAAAABYiTIDAAAAwEqUGQAAAABWoswAAAAAsBJlBgDgCqWlpcrNzZUkPfjgg+ed0g0AwFfh0EwAgGs88MADio6Olt/v1+rVq03HAQC4HGUGAOAaPp9PXq9XW7ZsUXx8vOk4AACXo8wAAFzB7/crIyNDaWlpeuaZZ1RaWqrQ0FDTsQAALsaaGQCAKzz88MMaM2aMvF6vRo0apVWrVpmOBABwOWZmAAAAAFiJmRkAAAAAVqLMAAAAALASZQYAAACAlSgzAAAAAKxEmQEAAABgJcoMAAAAACtRZgAAAABYiTIDAAAAwEr/A3W+lMaf6XSFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1008x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "max_degree = 5\n",
    "fig, ax = plt.subplots(figsize=(14, 5))\n",
    "x = np.linspace(-5, 5, 1000)\n",
    "\n",
    "data = pd.DataFrame({'y': f(x, max_degree), 'x': x})\n",
    "data.plot(x='x', y='y', legend=False, ax=ax)\n",
    "pd.Series(np.sin(x), index=x).plot(ax=ax, ls='--', lw=2, label='sine')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Underfitting vs overfitting: a visual example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-17T18:00:27.456166Z",
     "start_time": "2020-06-17T18:00:27.453464Z"
    }
   },
   "outputs": [],
   "source": [
    "from collections import defaultdict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-17T18:00:28.863091Z",
     "start_time": "2020-06-17T18:00:27.457956Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(ncols=3, figsize=(15, 4))\n",
    "x = np.linspace(-.5 * np.pi, 2.5 * np.pi, 1000)\n",
    "true_function = pd.Series(np.sin(x), index=x)\n",
    "n = 30\n",
    "noise = .2\n",
    "degrees = [1, 5, 15]\n",
    "x_ = np.random.choice(x, size=n)\n",
    "y_ = np.sin(x_)\n",
    "y_ +=  normal(loc=0, scale=np.std(y_) * noise, size=n)\n",
    "mse = defaultdict(list)\n",
    "for i, degree in enumerate(degrees):\n",
    "    fit = np.poly1d(np.polyfit(x=x_, y=y_, deg=degree))\n",
    "    true_function.plot(ax=axes[i], c='darkred', lw=1, ls='--', label='True Function')\n",
    "    pd.Series(y_, index=x_).plot(style='.', label='Sample', ax=axes[i], c='k')\n",
    "    pd.Series(fit(x), index=x).plot(label='Model', ax=axes[i])\n",
    "    axes[i].set_ylim(-1.5, 1.5)\n",
    "    mse = mean_squared_error(fit(x), np.sin(x))\n",
    "    axes[i].set_title(f'Degree {degree} | MSE: {mse:,.2f}')\n",
    "    axes[i].legend()\n",
    "    axes[i].grid(False)\n",
    "    axes[i].axis(False)\n",
    "\n",
    "sns.despine()\n",
    "fig.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bias-Variance Tradeoff"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Train Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-17T18:00:29.903146Z",
     "start_time": "2020-06-17T18:00:28.864803Z"
    }
   },
   "outputs": [],
   "source": [
    "datasets = ['Train', 'Test']\n",
    "X = {'Train': np.linspace(-1, 1, 1000), 'Test': np.linspace(1, 2, 500)}\n",
    "\n",
    "models = {'Underfit': 1, 'Right Fit': 5, 'Overfit': 9}\n",
    "\n",
    "sample, noise = 25, .01\n",
    "result = []\n",
    "for i in range(100):\n",
    "    x_ = {d: choice(X[d], size=sample, replace=False) for d in datasets}\n",
    "    y_ = {d: f(x_[d], max_degree=5) for d in datasets}\n",
    "    y_['Train'] += normal(loc=0,\n",
    "                          scale=np.std(y_['Train']) * noise,\n",
    "                          size=sample)\n",
    "\n",
    "    trained_models = {\n",
    "        fit: np.poly1d(np.polyfit(x=x_['Train'], y=y_['Train'], deg=deg))\n",
    "        for fit, deg in models.items()\n",
    "    }\n",
    "\n",
    "    for fit, model in trained_models.items():\n",
    "        for dataset in datasets:\n",
    "            pred = model(x_[dataset])\n",
    "            result.append(\n",
    "                pd.DataFrame(\n",
    "                    dict(x=x_[dataset],\n",
    "                         Model=fit,\n",
    "                         Data=dataset,\n",
    "                         y=pred,\n",
    "                         Error=pred - y_[dataset])))\n",
    "result = pd.concat(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-17T18:00:29.935077Z",
     "start_time": "2020-06-17T18:00:29.912994Z"
    }
   },
   "outputs": [],
   "source": [
    "y = {d: f(X[d], max_degree=5) for d in datasets}\n",
    "y['Train_noise'] = y['Train'] + normal(loc=0,\n",
    "                                       scale=np.std(y['Train']) * noise,\n",
    "                                       size=len(y['Train']))\n",
    "colors = {'Underfit': 'darkblue', 'Right Fit': 'darkgreen', 'Overfit': 'darkred'}\n",
    "test_data = result[result.Data == 'Test']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-17T18:00:32.160403Z",
     "start_time": "2020-06-17T18:00:29.940733Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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k5MRz0tLSSr1Pamoq3r59CxMTkyLHKiOpUvjeb968gZeXF44dOwYgr8Iwv0IyP+b09HRoaWlJXaejo1Mk7pCQkGKH/iYlJSEtLa3Y+6upqUFZWVlqbrjKoKqqWiRxmy9/v6qqqtT5BcnJ5f12nZubK8Ze2jvIn/9v+vTpmD59epF7JiUliX9/3/cMAAYMGIAff/wRqamp4nDg/v37A8gbWr9161YEBgZix44dCA4ORoMGDeDt7Q0HB4f3tg1IVweWJH+eyfxkqbGxMVq2bInjx4/DzMwMx44dg4ODg1gt+L7vQHmevzIU/kwlEon4nU5JSYGiomKRVY8Lf6+JiIio6jFBSEREVA3p6upCQ0MDDx8+LHLs5cuXmDhxIiwsLODv74/mzZsDAHx9faUWIWncuDEWL16M3NxcXLlyBaGhofjll1/QunVr9OvXr0i7AQEBUsmdgpVdxRk4cCDc3Nzw9OlTHD58GPr6+mKF3oMHDzB16lQ4OTlhx44dYrJj6tSpRRahKM3//vc/zJ07F5MnT8bo0aPFFVPzh1aXlbq6uji3X0GRkZHQ09ODuro66tevj40bN5ar3Q+1YMECREREIDAwEJaWllBSUsJ///0nDhEH8qpAX7x4IXVd4QUx1NTU0LNnT4wYMaLIPbS0tMQFPQq3k56ejnfv3kFTU7OyHglAXhLq+fPnxR5LSEgoNjlUkvzYCn9uBd9BfjWsl5dXsast5yfkysre3h5KSko4ffo0rly5AnNzczRp0kQ83rFjR2zcuBFv377FhQsXsHnzZkydOhV//vkndHV139u+iYkJGjRoIDWMubDw8HAAQI8ePcR9jo6O2LdvH7799ltcvnxZKnH/vu9AddKwYUNkZWUhPT1d6ntQ3L+bREREVLU4xJiIiKgaio+PR3Jyspj8K+jevXtIS0vDN998Ix7Pzc3F+fPnxUqd27dvo3v37rhx4wbk5ORgYWGBhQsXQkFBocTqJUNDQ7Rv3178876Eh7W1tZjsOHnyJAYNGiRWJt68eRNZWVlwc3MTk4Nv3rzBxYsXi1T+lebKlSuQSCSYNGmSmBxMSEjAv//+W652zM3NkZ6ejosXL4r70tLSMH78eERERKBjx45ITk5GnTp1pN7B4cOHcejQoTLfpzzPZWNjA2tra7ES7Ny5cwD+v4KwS5cu+PPPP8XhzgDERVfydezYEffu3YOJiYkYc+PGjbFixQrcvXsXLVu2hJaWVpFFLvIXmLGwsKjU57K0tMQ///xTbMLn1KlTMDc3L3V4bUEtW7ZEw4YNi6zsfPbsWfHvrVq1gqamJhISEqQ+t9TUVKxZs6bcFZKqqqqwt7fHn3/+iVOnTkmtph0aGoqePXsiKytLPM/DwwM5OTlISEgoU/tycnKYMGECzpw5gyNHjhQ5Hhsbi8DAQNjb24vz/gEQF0kJCAiAjo4OunTpIh5733fgQ8nLyxcbf0VYWFhATk4Op0+fFvdlZmaK330iIiKSHVYQEhERydjz589x5coVcTsxMRG//PILlJWVi11UoVWrVqhbty7Wr1+P3NxcZGRk4LfffsPt27fF4XytW7dG3bp1MWvWLLi7u0NDQwMHDhyARCKRqkyqCHl5eQwYMAA7duzAw4cPxdWLAaBt27aQl5fH8uXLMWLECKSkpCA4OBjPnz8XE2Jl0b59e+Tm5mLx4sXo06cPnj59KlY6vn37tszt2NnZoV27dpg2bRp++OEHaGlpYdOmTWjYsCH69esnJgbd3Nzg7u6Oxo0b4+TJk9i5cyfmzZtXrvdS1uc6ffo09u/fj8aNGyMyMhJBQUEAIFb9TZw4EUOGDMF3332HkSNH4s6dO+I8hfkmT54MZ2dnTJ06FUOGDEFmZibWr1+Pp0+fol27dpCXl4e7uzsWLFgADQ0N9OzZE3fu3IG/vz/69OmDNm3alDnmR48eITk5udQFKkaPHo2QkBC4uLhg3LhxaNq0KRITE7F//37ExMSUa7VaiUSCKVOmYO7cuahfvz6sra1x7NgxXL9+XUxeKSgo4Pvvv8fSpUsB5C1gEx8fjxUrVqBFixblriAE8oYZT548GRKJBH379hX3d+rUCUlJSZg6dSpGjhyJrKwsBAQEQE9PT1zQo6zv6ObNm5g5cyaioqLQq1cvKCsr4+LFi9i6dSuaNWuGRYsWSV3TokULmJiY4Pfff8fIkSOlknfv+w58qPzqzPPnz6NFixYwMjJCvXr18OzZM0RERBQ7HP99mjdvjgEDBmDhwoV48+YNmjZtil9//RVJSUlSlZpERERU9ZggJCIikrETJ07gxIkTAPKSIvXq1RMr/gpWEeVTV1eHv78/fH19MWnSJGhpaaFTp05Ys2YNpkyZgqtXr8LMzAybNm3CsmXL4OPjgzdv3sDQ0BAbN24sts0P5eTkhKCgIHTu3FkqGdOyZUssW7YM69atg5ubGxo0aABbW1sMGTIE8+fPR0JCQpmGZFpZWWH27NnYtm0b9u7di0aNGqFv375QUFDAtm3bSpzvrjBFRUUEBQXB19dXHHbdqVMnbN26VUyEBAUFwc/PD8uXL8erV6/QvHlzqdVWK5OnpycyMjKwePFiAHkLaKxbtw6LFy/G5cuX4eTkhM8++wzBwcHw9fXF999/j5YtW8LLywszZ84U2zExMcG2bduwevVqTJkyBcrKyrCwsICvr6/4fkePHg0VFRUEBwcjNDQUDRs2xLfffovJkyeXK+b169dj//79uHPnTonnaGlpYc+ePfD398eaNWvw/Plz1KtXD6ampti5c2exw4BLkz8MNzAwEDt37kS3bt0wceJEbNq0STwn//m2bt2K4OBgaGpqok+fPvjhhx+KnWvzfbp374569erB2NhYrFoF8r7TGzZswNq1a6VWy/bz8xPnqSzLO5JIJFiyZAk+//xz/Pbbb/jxxx+RmZmJFi1aYNKkSRg1apTUfKL5BgwYgOvXr0tVNQJl+w58CDU1NYwfPx47duzA5cuXcfjwYQwfPhx//vknJkyYUOoq66Xx8fGBiooKVq9ejezsbDg6OqJPnz7477//PjhWIiIiqjiJUJ7xOURERERERB8gOTkZERERsLOzg5qamrjf2dkZOjo6WLdunQyjIyIiqt1YQUhERERERB+diooK5s2bh+PHj8PZ2RkKCgo4duwYrly5Uq7h50RERFT5WEFIRERERERVIiYmBqtWrcL169eRlZUFQ0NDTJo0qdLmRiUiIqIPwwQhERERERERERFRLSYn6wCIiIiIiIiIiIhIdpggJCIiIiIiIiIiqsWYICQiIiIiIiIiIqrFmCAkIiIiIiIiIiKqxZggJCIiIiIiIiIiqsWYICQiIiIiIiIiIqrFmCAkIiIiIiIiIiKqxZggJCIiIiIiIiIiqsWYICQiIiIiIiIiIqrFmCAkIiIiIiIiIiKqxZggJCIiIiIiIiIiqsUUZB0AEdUO9vb2WLNmDdq3by+zGJKTk7Fy5UpERUVBVVUVcnJycHR0xLfffgt5eflSr42Li4Ovry/8/f3Ldc9Xr15h3LhxePnyJaZOnYrevXtLHY+NjcWyZcvw9OlTAICGhgY8PDzQqVOn8j3cB/iQz8Te3h6KiopQUVGR2u/t7Q0LC4vKDpGIiIhkbNeuXdi1axeys7MhkUjQrl07/PDDD2jSpMl7r/3555/h7OwMExOTct0zICAAISEhsLKywpIlS6SOZWVlYdWqVTh37hwkEgkEQUD//v0xYcIESCSSct2nvPz9/ZGSkgIvL68yX+Pp6YmIiAhoa2tDIpEgOzsb+vr6WLhwIerXr//BsVy7dg1Tp07F6dOnsWvXLrx8+RJubm4lnh8aGorMzEyMGjWqTOcTUe3DBCER1Qrp6ekYMWIEhg0bBh8fHygoKCAtLQ1eXl748ccfsWLFilKvf/LkCe7fv1/u+966dQsvXrxAWFhYscenTJkCDw8PODg4AACio6MxYcIEhIeHQ1NTs9z3qwp+fn4yTfQSERFR1Vi2bBlu376NjRs3onHjxsjNzcWhQ4cwfPhwhIaGolGjRqVef/78eQwfPrzc992zZw/8/PyK/cF027ZtiI+Px/79+6GgoICXL1/im2++gZaW1gfdqyqMGTMGY8eOFbeXLl2KefPmYe3atZXS/ogRI957zsWLF/HZZ5+V+Xwiqn2YICSiKte+fXu4ubkhIiICiYmJGDduHEaOHFnqNSEhIfjzzz+xYcMGAHmVd2PGjMGZM2fwyy+/ICwsDIqKitDS0sKSJUvQsGFDqet37dqFtm3bYty4ceI+DQ0N+Pr6ws7ODjExMXj79i0WLFiAI0eOAACioqKwYMECHDx4ED///DMSEhIwduxYBAUFFYnv1KlTWLduHXJzc1G3bl3Mnj0bampq+Omnn5CQkICBAwciJCSkSOVdUlIS3rx5I25bWlpi9erVYkXjhg0bEB4ejoyMDLx9+xazZs2Cg4MD/P398ejRIyQkJCApKQnGxsbo0qULDhw4gPj4eMycOROOjo7w9/fHw4cP8ezZMyQlJcHIyAiLFi2CmpqaVBynT59GQEAAsrKyoKKiglmzZsHc3Px9H6WU+Ph4jBo1CgYGBnj8+DGWLl0KDw8PcXv79u2IiYkp8p5MTU3h7++PK1euIDExEYaGhpg0aRLmzJmDzMxMCIKAoUOHYtSoUeWKh4iIiD7cs2fPsHv3bpw5cwYaGhoAADk5OQwaNAjXr1/Hxo0b4e3tXWREQv72qVOnkJiYiBkzZsDX1xcdOnQo0r6Pjw8eP34MQRAwaNAgjBs3Dh4eHkhISMCcOXMwdepU9OvXT+q6pKQkZGVlITMzEwoKClBXV4evry9yc3MBAFeuXMHy5cuRmZmJpKQkdOvWDYsXL0Z8fDy++eYbWFtb4/r168jJycGUKVMQEhKCe/fuwcTEBCtXrsSTJ0/g4uICGxsbXL16FYIgwMvLq0iyMiEhAfPnz8fTp0+RlZWF/v37Y+LEiWV6t1ZWVli+fLn4vkxNTXHnzh1MmzYNpqamJbb722+/Ydu2bVBTU0ObNm3E9gpWNt6/fx9eXl5ITk6GnJwcJk2aBEVFRZw+fRoRERFQUVFBcnKyeP7du3cxf/58pKamQiKRwNXVFYMGDUJUVBRWrVoFfX193L17F9nZ2Zg3bx46duyIf/75B0uXLhXf+YQJE/DFF1+U6dmJqBoTiIiqgJ2dnRATEyMIgiC0adNG2L59uyAIgnDt2jXBxMREyMjIKPX6ly9fCp06dRISExMFQRAEX19fYeXKlcKTJ08ECwsL4d27d4IgCEJQUJAQFhZW5PoJEyYIO3bsKLZtd3d3YcuWLUJkZKTQv39/cX/B7cLHCvrvv/+Ebt26CY8ePRIEQRDOnz8vWFtbCy9fviz1OkEQhMOHDwudOnUSrK2thSlTpgjbt28XUlJSBEEQhPj4eMHFxUV4+/atIAiCcOTIEcHR0VEQBEFYu3atYGdnJ6Snpwtv374VLC0thSVLlgiCIAhhYWFC7969xfNsbW2FpKQkIScnR5g2bZqwdOlSQRD+/zO5f/++4OjoKCQnJwuCIAj//vuvYG1tLbx+/bpIvHZ2dkLv3r2FL7/8UvwzdOhQQRAEIS4uTmjTpo0QHR1d7HZp72nt2rXCF198IWRlZQmCIAizZ88WNm7cKAiCICQmJgoeHh5CTk5Oie+RiIiIKtfx48eFwYMHF3ssPDxcGDBggCAI0n28wtuFjxU0atQoITg4WBAEQUhPTxcGDBggHDly5L3XPX36VHBychLat28vjB49Wli5cqVw48YN8fgPP/wgREZGCoIgCK9evRK6dOkiXLt2TeyXnDp1ShAEQfDy8hLs7OyEly9fChkZGYK1tbVw8eJF8bxDhw4JgiAIZ86cEaytrYXMzExh7dq1wrx58wRBEAQXFxchPDxcEARByMjIEFxcXIQ//vijSLyzZs0SNm/eLG6/fftW8PDwEObPny8+67p168TjJbV78+ZNwcrKSuwLz507V7CzsxMEQZCKa9CgQWKf98mTJ0LPnj2Fly9fSsWRf35WVpbQs2dP4cSJE4IgCMKzZ88EGxsb4dKlS0JkZKTQtm1b4ebNm4Ig5PWxR40aJQiCIHz99dfiZ3Xr1i3Bx8en2M+KiGhV2BIAACAASURBVD4trCAkIpno2bMnAMDY2BiZmZl48+YNlJWVSzxfTU0NDg4OOHToEMaMGYPDhw9j586d0NXVhZGREZycnGBrawtbW1tYWVkV20ZWVlax+zMzMyv0LJGRkejatSv09fUB5P0qrK2tjevXr793LhxHR0c4ODjg4sWLiI6Oxt69e8V5d/T09ODr64vDhw/j4cOHuHr1Kl6/fi1e261bN6irqwMAGjZsCBsbGwBAs2bNkJqaKp7Xp08f6OjoAACGDh2KxYsXY9asWeLx/ErOMWPGiPskEgkePXoEIyOjIjGXNsRYQUEBZmZmxW6X9p4AwMzMDAoKef+z5ODggFmzZiEmJgZWVlb4+eefISfHdbWIiIiqUnZ2drH7MzMzKzTf35s3b3Dp0iUEBwcDANTV1TF48GCcPXsW/fv3L/XaRo0aYd++ffjvv/8QFRWFqKgoDB8+HJ6enhg1ahSWLl2Ks2fPYsOGDbh37x7evXuHN2/eQFNTE4qKirC3tweQ118yNzcXR1U0bNgQaWlpaNiwITQ0NDBgwAAAwOeffw55eXncuXNHKv7o6GikpaVhzZo14r7bt28XqXgEgK1bt+LQoUMAgJycHFhaWmLatGni8fzqxNLaffbsGaytrdGgQQMAwPDhw/H3339L3Sc1NRW3b9/GsGHDAACNGzfGqVOnSnyXDx48wLt378Q5snV1ddG7d2+cO3cOXbp0QZMmTdC2bVsAQLt27bB//34AQN++fTF//nycPn0a3bp1k3oWIvp0MUFIRDKRnwzM71wKgoA5c+aIySJnZ+ci86N89dVXmDt3LgwMDGBgYCAmmnbs2IFr167hwoULWLx4MWxsbPDjjz9KXWthYYH//e9/UkkwAHj9+jWuXbuG7777DhkZGRAEQTxWUkJx165d2L17NwDAxMQERkZGRTrJgiAgOzsbioqKJV7n6uqK/fv3Y8aMGejWrRu6deuGqVOnYsyYMThx4gS6du2KyZMnY8yYMbC2toalpSXmzZsntqekpCR1z/zkWmEFF2DJzc0tkmjLzc2FlZUVVq9eLe57+vRpkWHaZaGkpCQVR8Ht3NzcEt8TANSpU0fcb2dnhxMnTuD8+fO4cOECfvnlF+zbt++9cx0RERFR5TAzM8PDhw+RlJQkJqXyRUVFSU1FUrD/VNwPrwkJCVILYqxfv17qGiCvn1A4IVn4usDAQGzbtg3Dhg1D69at0bp1a4waNQoHDx7Epk2bMGrUKIwePRqGhoawsbFB3759xWHCAKCoqCjVFynYTyuo8OJ1ubm5RfpTgiBg9+7dUFVVBZC3GF5JP3YXnoOwsPw+UGnthoSESL2z4hbYy+9zFXzGe/fulbigTE5OTql9s4JT4+QvCAPk9dPt7OwQERGBc+fOYd26dTh+/HipP/YTUfXHcgwiqjYWLVqEgwcP4uDBg8VOnpxfifbLL7+Iv4zevn0bjo6OMDAwwIQJEzBmzBhcu3atyLUjR45EbGwsAgMDkZOTAwBIS0uDp6cnOnXqBFNTU2hra+PJkyd48eIFBEHAH3/8IV4vLy8vJgxHjBghxrlo0SJYWVnh77//RlxcHADgwoULePr0aZG5dgpfp6Ojg99//x3Hjx8Xz0lNTUVCQgLatWuH6OhomJiY4Ntvv0Xnzp0RHh4uxl4e4eHhePnyJXJzc/H777/Dzs5O6riVlRUiIiIQGxsLAPjrr7/w5ZdfIiMjo9z3Kk1Z3xMATJ8+HUePHkX//v3h7e0NNTU1PHr0qFLjISIiopLp6urCxcUF06ZNQ0JCgrh/7969OHnyJMaPHw8AUqMBoqKikJSUJJ4rLy+P7Oxs6Orqin2ggwcPomnTpujQoQN27twJAHj58iUOHDiAbt26FYmh4HW6urpITk7GmjVr8PbtWwB5Ca27d++iXbt2SE9Px7Vr1zBjxgz07t0bz549w6NHj8S58soqOTkZZ8+eBZA3T7OioqLUnH9qamowMzPDli1bAPz/Ynjh4eHluk9hpbVrbW2NiIgIPHv2DADEar7C1xsbG+PAgQMA8n7wHTFiBF6+fCl+FgW1atUKCgoKOHnyJIC8hOyJEyeKfA6FOTs749atWxg8eDAWLFiA9PR0qc+diD5NrCAkok/KsGHDsH79evTq1QsAYGRkhL59+2LIkCGoU6cOVFRU8PPPPxe5Tk1NDSEhIVizZg369esn/oLs6OgIV1dXAEDr1q3h7OyMIUOGoEGDBujRo4eYbGzdujWUlZUxdOhQhIaGSv3a2rp1a3h7e8Pd3R05OTlQUVHBhg0bxOG/JdHQ0MC2bduwYsUK+Pr6QlVVFUpKSpgwYQKsrKzw2Wef4eTJk+jbty9yc3NhZ2eHtLQ0vHr1qlzvTEdHB+PHj0dKSgosLS2LTKDdunVrzJ8/H9OmTYMgCFBQUEBAQADq1q1bbHszZswostjK6NGjSxzaXfA+ZX1PkydPxpw5cxASEgJ5eXn06tULlpaW5XpuIiIiqpjp06cjNDQUkyZNQmZmJjIzM9G+fXvs3r0bTZs2BZDXL/Dx8UFISAiMjY1hbGwsXu/g4ICZM2fCx8cH3bt3l2rbz88P8+fPx759+5CZmYkBAwZg8ODB743J29sbq1atwpdffgklJSVkZ2eja9eu8PLygpqaGtzc3ODk5IQ6depAV1cXFhYWePjwoTjypCyUlZVx8OBB+Pn5QUVFBb/88kuRij0/Pz8sWLAAAwYMQGZmJhwdHfHll1+W+R4lKa3dmTNn4ptvvkHdunVhampa7PUrVqzAvHnzsH37dkgkEixatAgNGjSAra0tli5dKnWuoqIi1q9fj4ULF8Lf3x85OTn47rvv0LVrV0RFRZUY44wZM7B48WKsXr0aEokE7u7u0NPTq/CzE5FsSYTCtd1ERFRjFFzVjoiIiIhKFx8fjwEDBuDy5cuyDoWIqEpxiDEREREREREREVEtxgpCIiIiIiIiIiKiWowVhERERERERERERLUYE4RERERERERERES1WI1JEN69e1fWIRAREVEttnLlStjZ2aFHjx6ws7PDqlWrZB1StcQ+GxEREdVW6XFxiAkORnpcnKxDKaLGJAizs7NlHQIRERHVYmFhYcif2lkQBJw8eVLGEVVP7LMRERFRbfUgLAx3du/Gg7AwWYdShIKsAyAiIiKqCXR0dBBX4NdgHR0dGUZDRERERLKWHheHB2FhaOHggHr6+mjh4AAA4j+rEyYIiYiIiCrBkydPSt0mIiIiotojPS4OEV5eSI2NBQCYurqinr4+TF1dZRxZ8WrMEGMiIiIiIiIiIqLq4EFYGFJjY6FpYFAtKwYLq9EVhFlZWYiPj0dGRoasQ/moVFRUoKenB0VFRVmHQkREVGv17NlTat7BXr16yTCaT0tt6bNVBPt7REREn5aCw4nr6evLOJr3kwj5s2l/4m7duoW2bdtK7bt//z7U1dVRv359SCQSGUX2cQmCgBcvXuDly5do2bKlrMMhIiKqtV68eIGhQ4dCEARIJBLs2bMH9evXl3VY1U5t7bNVBPt7RERE9LHV6CHGGRkZNb6jKZFIUL9+ff7iTkREJGP169dHo0aNAACNGzdmcrAcakOfrSLY3yMiIqKPrUYnCAHUio5mbXhGIiKi6u7FixdISEgAADx79gwvXryQcUSfFvZnSsf3Q0RERB9TjU8QEhEREVWFwMBA5ObmAgByc3MRGBgo44iIiIiIqLKkx8UhJjgY6XFxsg7lo2CCsIyioqJgZWUFFxcXjB49Gs7Ozjh69GiJ5z958gSnT5+uwgiJiIhIlsLDw0vdpk9DYGAgunfvjnfv3pV4zp07dxAdHV3utj09PXH27NmKhEdEREQy8iAsDHd278aDsDBxX01KGjJBWA5du3bF9u3bsWPHDgQFBWHz5s24detWsedGRkbi0qVLVRwhERERyUrhdd9qyDpwMuHj4wOJRFIpf8rr8OHD6NevH/74448Szzl58iT++++/ijwiERERfWJaODjA0NlZXJ0YKD5p+KlSkHUAn6q6deti+PDhOHr0KHbs2IFnz54hJSUFtra2+P777xEYGIiMjAyYm5tDXV0d69atA5A3CfeyZcu4Ah0REVEN07BhQzx9+lRqmz4tUVFRaNasGZydnTFz5kwMHjwYV69exaJFiyAIAnR1dTF37lzs378fioqKMDY2hoeHB44dOwZlZWX4+fmhVatWGDhwILy8vKT6hx4eHuJ97t+/j9mzZ0NBQQHy8vLw9fWFrq6uDJ+ciIiIPkR+srBg0vBTxQrCCqhfvz5u3rwJMzMzBAUFYdeuXdi1axfk5eXh5uYGR0dH9OzZE3fv3sXy5cvx66+/wt7eHsePH5d16ERERFTJEhMTS92m6i80NBTDhg1Dq1atoKSkhKtXr2Lu3LlYsmQJQkNDYWVlhefPn8PJyQljxoyBqalpse08ffq0SP+woPPnz8PY2BhbtmzBxIkTkZaWVhWPR0RERO9R2pDh4qoF6+nrw9TVFfX09asyzI+CFYQV8OTJE5ibm+PatWuIjIyEmpoaMjMzi5ynq6uLRYsWoU6dOkhISICFhYUMoiUiIqKPqfBwVq46+2lJS0vD2bNnkZycjO3bt+PVq1fYsWMHXrx4AQMDAwDAqFGjAKDEeabzh5VramqW2j8cOnQoNm3ahHHjxkFdXR0//PDDR3wyIiIiKqv8JCAAmLq6Sh2rSdWCxWEF4Qd69eoVQkNDoa6uDnV1daxYsQKurq7IyMiAIAiQk5MTVzL8+eefsXjxYixduhQNGzbknEREREQ1UPfu3Uvdpurt0KFDGDJkCIKDgxEUFITff/8dERERUFZWxoMHDwDkLWASFhYGiUQi9vOUlJSQmJgIQRBw+/ZtAMC+ffuK7R/mCw8PR8eOHbFt2zb06dMHmzdvrvLnJSIioqKKm2cwX02qFiwOKwjLITIyEi4uLpCTk0NOTg6+//57tGzZEtOmTcPFixehqqqK5s2bIzExEW3atEFAQACMjY0xcOBAfPXVV6hXrx50dHQ45IiIiIioFD4+PvDx8anSe4aGhsLX11fcVlVVRe/evaGjo4OffvoJcnJyaNCgAcaMGQNFRUX4+vrCwMAA48aNg5ubG5o2bYp69eoBAKysrIrtH+YzMTHBzJkz4e/vDzk5OcyePbtKn5WIiIiKl58ELCw9Lg4PwsLQwsGhxiYIJUINKWe7desW2rZt+959NVVtelYiIqLqqGfPnsjJyRG35eXlER4eLsOIqqfa3merCL4nIiKij6e0JGBMcDDu7N4NQ2fnYhOINQErCImIiIgqQcHkYHHbRERERCR7JSUCa/P8gwAThERERESVQl5evkgFIRERERFVLyUlAktLApY09LgmYYKQiIiIqBLY2NjgzJkzUttEREREVL2UlAisDUnA0nAVYyIiIqJKoKysXOo2EREREclecasRp8fFISY4GOlxcTKMTLaYICQiIiKqBGfPni11m4iIiIiqp/xhxw/CwmQdiszUqiHGTkOGIuXF80prT6u+Dvbv3VNp7REREdGnS0dHB3EFfnXW0dGRYTREREREBJS+OnG+2rAIyfvUqgRhyovneGlZiePJo4NLPbx06VLcuHEDSUlJyMjIgL6+PrS0tLB27dpSrwsMDETXrl1hampaebESERHRR/XkyZNSt6l6i4qKwu7du7Fq1Spxn5+fH1q1aoXBgweXeu3Zs2dx9OhRLF26tEz3WrVqFc6dO4cvv/wSr169gru7O8LCwmBqagpdXd0KPQcRERHlyU8MZiQn4+HJkwCKrk6cr7bPPwjUsgRhVfP09AQA7Nu3D/fu3cOMGTPKdJ2bm9vHDIuIiIiIZOjo0aPYv38/1NTUxH2//vorfHx8mCAkIiKqJPnDhpv37g1DZ+daXR1YFkwQVjFPT0+kpqYiNTUVAQEB8PPzw7Nnz5CSkgJbW1t4eHjA09MT/fr1w/Pnz/HXX38hIyMDjx49wvjx49/7CzYRERHJhqWlJSIjI8Xtzp07yzCami8uLh1hYQ/g4NAC+vr1Puq9xo0bB0VFRcTHx6Nfv36YNGkSYmNj8dNPP0FVVRWqqqrQ0NAAABw7dgxbt26FnJwcOnbsiBkzZsDf3x+XL1/Gmzdv0L17dzx79gwTJkyAm5sbDhw4gIEDB+LWrVuYNWsWfvvtNygpKX3U5yEiIvqUlWXIMCA9bLi08yhPtV2k5Pr165g+fTpmzZqF588rb97A6qBr167YvXs3Xr9+DTMzMwQFBWHXrl3YtWtXkXNfvXqFjRs3IiAgAIGBgTKIloiIiMri8ePHUtvx8fEyiqR2CAt7gN277yAs7MFHvY9EIsGTJ0/g7++PkJAQbN68GQCwZs0aTJkyBVu3boW5uTkAIDU1Ff7+/ti6dSt27dqFhIQEREREAABatWqF3bt3w93dHQ0aNEBwcDBUVFQAAD169EDbtm2xbNkyJgeJiIhKkR4XhwgvL9zYuvW9C4oUt1oxlazaVhC+e/cO3t7e+Pvvv3HlyhX06tVL1iFVmpYtWwIANDU1ce3aNURGRkJNTQ2ZmZlFzjUyMgIANG7cuNjjREREVD0UXKCkuG2qXA4OLaT+WVEqKipF+lpv3ryBsrIy2rRpAwUFBSgoKIhJvbt374rzRVtYWODevXt49OgRkpOTxeliXr9+LX4P8vt/RERE9OEehIUhNTYWmgYGHDJcyaptBWHHjh3x33//ITg4GG3btpV1OJVKIpEAyJubUF1dHStWrICrqysyMjIgCEKx5xIREVH1lp84KmmbKpe+fj24uppW2vBiAwMD3Lp1C4mJiQDyfqyOjo7G69evi+2PtWrVCpcvXwaQN/IFAPT09NC4cWMEBwdj+/btGD16NDp06AAAkJMrvdstkUiK9AOJiIhIWgsHBxiPGQPr+fMBADHBwUjnj7KVotpWEMbExMDExASbNm1CYGAgZs2aVeE2terrvHfl4XK3VwFWVlaYNm0aLl68CFVVVTRv3lzslBIREdGnJSMjo9Rtqt7U1NTg6emJCRMmQEVFBVlZWXBxcUGzZs1w/vz5Iud7e3vjhx9+QFBQELS1taGsrAxtbW2MGTMGLi4uyMnJQdOmTdG3b98y3d/c3Bw//vgjgoODoampWdmPR0REVCPU09dHCweHIqsTt3BwwO2QEACA0fDhHFb8ASSCDH6qvHr1Kvz8/LB9+3bk5ubCx8cHd+7cgZKSEhYuXIjmzZvjwoUL2Lt3LwRBgIuLC8zMzEpt89atW0UqDYvbV1PVpmclIiKqjnr06FFk35kzZ6o8juqutvfZKoLviYiIapPCi5Hkb+cnBpv37g0VbW0xYfjPihUAgE7Tp8PU1VXG0X96qryCcNOmTTh06BBUVVUBAKdOnUJmZiZCQkJw5coVLF26FAEBAbCysoKVlVVVh0dERERERERERDL2ICwMd3bvBpBXIRjh5YXU2FgYfPklDJ2dpVYnbuHggIzkZPHvn4qyrshcFao8QdisWTP4+/vjxx9/BABcvHgRNjY2AAAzMzNxDhciIiIiIiIiIqr5ikuU5Sf68isE8xcnKW4IcT19fXSeMaPK4/4Q6XFx4nBoAOIwaVlXPVZ5gvCLL75AfHy8uP3q1SuoqamJ2/Ly8sjOzoaCQrWdHpGIiIiIiIiIiCpJwWrB4hJlBZOFsq60q6gHYWG4vmULAMDk22/FakhZk3kWTk1NDa9fvxa3c3NzmRwkIiIiIiIiIqolCiYA8xVOGsq6wq6yFBwOXZ0WVJF5Js7CwgJ//vkn+vXrhytXrqBNmzayDomIiIio3HR0dPD8+XOpbSIiIiJ6v3r6+kUSgMUlDWuCgsOh0+PiEBMcXC0qI2WeIHRwcEBERAScnZ0hCAIWL1780e711RAnJL5IqbT2GtbXwu9791dae0RERPTpSklJKXWbiIiIiMquuKRhdVfeRUfeN7S6KskkQainp4fff/8dACAnJ4f58+dXyX0TX6TgV/sXldbe16dLP7506VLcuHEDSUlJyMjIgL6+PrS0tLB27dr3tn3nzh2kp6fD0tKykqIlIiKijyknJ6fUbaq+oqKi4OHhgdatWwMAXr9+DT09Pfj5+SE2Nhbh4eFwd3cv9tp9+/bh3r17mFFoYvTo6Gioq6vDyMhIar+JiQnMzc3FbQMDA3z33Xf45Zdf4OPjU+J1RERENVF1WsW3MpQ34VedqiRlXkFYk3l6egIoueNYmpMnT0JHR4cJQiIiIqIq0LVrV6xatUrcnj59Ok6fPo0+ffqgbdu25W5v79696NevX5FEn4aGBrZv317kfB8fn1KvIyIiqomqUwXdhyq4KrGejQ1QYNGR9yVAq1OVJBOEVSgrKwve3t54+PAhcnNz4eHhgS5dumDVqlWIjIxEbm4u+vfvj759+2L//v1QVFSEsbExTE1NZR06ERERUbUSlxyHsJthcGjnAH3tyq04yMzMRGJiIjQ0NBAVFYXdu3dj1apVCA0Nxc6dO6GhoQFFRUX069cPAHD16lW4uroiOTkZI0aMgLGxMc6dO4cbN26gdevWaNKkSan3i4+Px7Rp0+Dl5VWu64iIiD511amC7kMVXJVYRVtbKuH3KSVAmSCsQqGhodDS0sLixYuRkpKC0aNH448//sCBAwewY8cO6OrqYt++fdDV1YWTkxN0dHSYHCQiIiIqRtjNMOyOzutwu3aveIc7MjISLi4uePHiBeTk5PDVV1/BysoKUVFRAIDk5GRs3rwZBw4cgJKSEr7++mvxWgUFBQQFBeHx48dwc3PD0aNHYWNjg379+hVJ8qWlpcHFxUXcnjVrFjQ1NQHkDT8u6ToiIiKqngquSqxjbCy16MinlABlgrAK/fvvv7h48SJiYmIAANnZ2UhJScHKlSuxcuVKPH/+HDY2NjKOkoiIiKj6c2jnIPXPisofYpySkgJXV1fo6elJHX/06BEMDAygqqoKAFLzCLZr1w4SiQQNGjRARkZGqfcpbohxfHx8pTwDERHRp+ZTqrArqPDQ4fxViWOCg3Fj61Y8OH4cjTp3htHw4aU+V3Wag5EJwirUqlUrNGrUCBMnTkRGRgYCAgJQt25dHD9+HCtXroQgCOjfvz/69+8PiUSC3NxcWYdMREREVC3pa+tXSuVgYVpaWli+fDm+/vprHDhwQNzfrFkz3Lt3DxkZGVBSUkJMTAxatWoFAJBIJEXakUgkEASh3Pf/0OuIiIg+RZ9ShV1BJSU2dYyNkZubi6f//IPnN24UGXJc1nZkoVYlCBvW13rvysPlba88nJ2d8fPPP2P06NF49eoVRo4cCSUlJWhoaGDgwIHQ0NCAtbU1mjRpAhMTE/j6+sLAwABdu3atvKCJiIiIqFStW7eGi4sLFi5ciFGjRgEAtLW1MX78eIwcORKampp49+4dFBQUkJ2dXWwbHTp0gJ+fH/T09GBgYFDme3/odURERNVdcdVyslqko6KVeyUlNp/fuAE5OTk07tQJjTp3LjXxmR4Xh4zkZDTv3btaJEglQg35ifLWrVtFVpgrbl9NVZuelYiIqDrq0aNHkX1nzpyp8jiqu0+1z5adnY1NmzZh0qRJAIBRo0bBw8MDlpaWVRbDp/CeiIiodim4gq/R8OFisq24BFxMcDDu7N4NQ2dnmVfLfaxYypN4rE7vA6hlFYRERERERB9CQUEBb9++hZOTExQVFWFqaopOnTrJOiwiIiKZKmkF3+KGzsp6OHHB5N37YilLoi89Lg5XNm5Eyr//wnL6dDTp0qXYisiS2pL1+yiMCUIiIiIiojKYNm0apk2bJuswiIiIqo2SVvAtLvklq+HE+QonLSs6N+CDsDBcDw5GZloalOrWRZMuXcrVlqzfR2E1PkEoCEKxE0fXJDVklDgRERERERERfUIKr+Bb1gScLJSnYq/gufkVgDrGxnh+44ZYCdjCwQGp9+4h5d9/0WHixPe2VTCBKusVi4tToxOEKioqePHiBerXr19jk4SCIODFixdQUVGRdShEREREREREVAOVZcitjrExHjdtCh1j4yqOrniFYy5PxV7Bc/MTn4+bNsWrx48B5CVA6+nrw3bhwjK3VTiBWt3U6AShnp4e4uPjkZSUJOtQPioVFRXo6enJOgwiIiIiIiIiqoHKMuT2+Y0bePX4MZ7fuFHicNuqVJaYS1J4vsKM5GS8S0lBfWPjYisQC56ff+/iKg6B6jPnYGE1OkGoqKiIli1byjoMIiIiIiIiIqJPVnFDbqvbohuFV1T+0HjS4+IQ4eWF1NhYAHnJRRVtbTw8eRKGzs5Sz5z/LjKSk/Hw5EkAQEZyMq5v2YL6xsbITE0V26hucw4WVqMThEREREREZRUXFwdfX1+kpqYiKysLRkZGmDFjBtTU1D6ovZiYGMyePRv29vaIj4/HsmXL8Pz5c9y+fRv29vaVHD0REdHHk18BVzgZVl0W3chP6j2OiICcoqK4ovKHxPMgLAypsbHQNDAokmQsnGzMr1Js3rs3DJ2d0cLBQUxSarVpA81WraptxWBhTBASERERUa2XkZGByZMnY+HChejQoQMAYP/+/Zg+fTo2btz4QW3+/fffcHZ2houLi7gvMjIS9+7dY4KQiIg+OcUlw2StYAVfamwsGpiZoXHnzhWKrWAyML9asKTkZ3HnGg0fDhVt7Wq7GElJmCAkIiIiok9OWSZLL48zZ87A0tJSTA4CgJOTE7Zv3w4jIyNcunQJderUwebNm6GgoIAvvvgCc+fOxbt376CsrIwFCxYgJycHkyZNgqamJmxtbbFnzx4oKiqiUaNGWLJkCY4cOYLAwEBkZGTA3NwcPXv2rHDcREREVaW4ZJisFUxaGo8ZU+HYytq/KLiycWElJRMru+9S2ZggJCIiIqJPTkUmHi9OXFwcmjVrVmR/ixYtIC8vj5MnT2LQoEE4evQogoKCMG/ePLi4uODzzz/HhQsX4Ofnhx9++AFJSUnYu3cvlJSUkJGR8rs+VgAAIABJREFUAR0dHTg4OGDJkiWQl5eHm5sb7t27x+QgERF9cqrjHHoVSVoWTPLlLyZS1v5F/nmFVzYuzdUNG3B9yxakxcbCZtGicsVaFZggJCIiIqJPTmVPhK6rq4uYmJgi+x88eAA/Pz/Mnz8frVq1QosWLaClpYV///0XGzduxObNmyEIAhQVFQEAenp6UFJSqpSYiIiIqHQVSVrmJ/nua2rixY0byEhOhtHw4QCk+xfFVf7lHy+YXCxJ/vWJV6/iXVoaUu7e/aB4PzYmCImIiIjok1PZVQw9e/bEhg0bEBMTA1NTUwBAaGgotLW10apVKwiCgM2bN2PEiBEAgFatWsHV1RUWFhaIjY1FdHQ0AEBOTq7U+8jJySE3N7fS4iYiIqKyKZzoy0/qpd67hxc3bgAovn+Rn0jMSE4W9xkNHy6ep9akidTqyfnX5N8n//pGlpao06ABOkyc+NGf9UMwQUhEREREtV7dunWxYcMGLF68GKmpqcjJyYGhoSFWrlwJABg6dCjWrFmDrl27AgBmzZoFHx8fvHv3DhkZGZgzZ06Z7tOmTRsEBATA2NgY/fv3/2jPQ0T0f+zdf1RUd3438DfIbwgzjKMgMGJE0DAmQhohqyExyRmy2e66Me1TeNrNHnX7bHhy9rRPF5+03fOsddkf3VrtOU/TNmxyArRpu4ytj6ndtIbZrSaETcCYAGGIqKOQcRBluIzIjxF0eP6Ae3Pnzp1fCMyg79c5e3CGO/d+7x33HPe9n8/3Q3QvCba/nzjl2GWzwXXxIsYdDmyprsZDe/di1G73mTYsP5/4vlsQ0N3QAADSlGRgNgyUvw/Aq005GvduVBMzMzMzE+lFLITPPvsMDzzwQKSXQURERPeoHTt2+Lx36tSpJV9HtFP7Nxv/HRcaPiciIiJ1XfX16G1qwsaqKtUOg676elgbG5GQng5ndzdujoyg4Pnn8excsCeST0Xub272Ot+o3e5VKSiGfcr3AYQ16CRagkNWEBIRERERERER3eWiLZC6U2pVfv72AtQbjdDm52NiaAg3R0aQ7KfVt89igbWxEalZWcirqPA6X7rBgNJ9+1SfY5JO5/VaGVKqfeas2Yzuhga4BQGl+/bd+QO5QwwIiYiIiIiIiIjucsEm9C63AFF5P4H2JnZarRhzOJBZWirtA5hdVuZz3DqTCY6WFrhsNiTpdF7PQVldKF7X33OVVxYCQH9zM9yCIIWJ0YYBIRERERFF3MzMDGJiYiK9jKh1l+wKREREERSsyi5YgBhtgt2Pv2OV4acyGN1eWyu9lhOfT15FBTZWVflcX+34rtdew9TYGAp++7cRk5AA6z/8A+KTk6WBJ5v37JHakiNtxYEDBw5EehELwel0YtWqVZFeBhEREd2jGhsbfd7bvXv3kq8j2qn9m21sbAy3b99GcnIyQ0IVMzMzGB4ehsfjQUZGRqSXQ0REy8So3Y7eo0eRrNcjUaNBokaDzJISJGo0qsdo8/MRl5KCdSaT1zHRRL7edIPB537UjlO7d/nvxeAvLiVFOkbtvMl6PeJSUpD1yCOYGBqCNj/f73MVj7/W1QW3ICAhLQ2DbW0Yu3wZsfHx0G7YAMd77yFr61asVdnHOhJYQUhEREREEZWbm4vLly9jaGgo0kuJWklJScjNzY30MoiIaBlRqwhUVsuF06YbDUKtcgx2nPz34VQiugUBpw8fxsTgoOq5lc93a00NOuvqsGHXLmQUFqL/nXeA2FgAQFpODvRGY9BrLhUGhEREREQUUfHx8bj//vsjvQwiIqK7ilrwpQzOwgnHokGo6w12nLLlOJShIn0WC7obGnB7ehq527ernlscctJ34gSySksBAC6bDReOHcP22loUv/iitI/h1fZ2OK1W1b0QIyFm5i7Z0OSzzz7DAw88EOllEBER0T1qh0p7yKlTp5Z8HdGO/2YjIiKKnOU2iMSfcO8j3OO76uul/QblQ0XEoSObKit9zjPQ1obThw/j1sQERs6dAwCsKi4GAEwMDsK4e7ffSs5owApCIiIiIiIiIqJlSj4tVy24Eo8RA6lobyMOhVgJKZ8KHChoC2cAy6jdjus2GxK1WtwcGfGaWFy6b5/XceJzzy0vx8maGghWK7K3bcPq4mJMT0xgYnAQ+Tt3Ru3kYjkGhEREREREREREy5TY+goASTpd0D337oaAUAzb3IIQ0n2F0poshqhuQcD5t94CAGSVlnpNLJYf27p/Py63tmJFfDyGrVZ4pqehMxqRnp8P+69+hQ27dkG7fr1qeBmN3wcDQiIiIiIiIiKiZWqdyQS3IEh/9ndMoN8vtmAtteG03A60taGzrg5bqquRlp0dUnWe2j6D4nXFKkC3y4VzR45AW1iIDbt2IUmr9arIlB8LzO4tmFFYiPiUFGzYtQsrjUa4XS5c6+iAZ3oaSVqt3/Av0t+HGgaERERERERERETLVLrB4NX66u+YSFaqBaqYE6vxXDab6u+VOuvqYDt+HADwbEPDvO9LvK6jtRWx8fFYaTRiemwMrnPnUPj8817nlR97+9YtJK9ciXXPPIMkrRb9zc2YdDqRpNOhu6EBnulp5Gzfjk2VlX6vLX4fo3Y7uurro2IvQgaERERERERERES0aAJVzPVZLHDZbNDm56u28iorC7dUV3v9DHa8P+J1VxUXY01pKXLLy3F5bvKwch3isRmFhXB2d2Pk7FmsSEzEk4cPA5htdc4tL8fmPXsAQAoHg4V/0dRqzICQiIiIiIiIiGiZisaJuEqBKubk4WEoe/Vll5Uhu6wMwBf3rjca4bRa4RYEr6EiSvI24YzCQmjz87Glulo6X3ZZmerzlO95ODE0hNi4OMxMT8NptQKAtAekvJJTnITsby3Ke480BoRERERERERERMtUNFWhBXPWbEZ3QwPcgiCFaWrtz2JIl6zXIy0nB3qjUfX3YiB4SavFsNWKgueeUx0qIn5G3lK8prQUYw4HnFarFBACs8/T2tgIR0sLttfWSu+J50zS6aRAcp3J5LUvoXxteqMR8LMWUaRbv+UYEBIRERERERERLVPRVIW2UNWMYuiZlpPjN8TrbWpCXkUF8ioqYD91Cp7paSRmZPitHGzdvx/Onh6vlmIx5JNbZzLB0dKCq598gn//7/8dmSUl6HvnHVw6cQJPHj6MdSaT1z2K7cRulwvthw4BwGwVY1VV1IR/oWBASERERERERES0TEVTFVqwasZNlZUBpw4rq+/klXry34uVhRmFhbhw7BgmhoYCDgYR9xBMz8vDmtJSaTqxPHQUpRsM2F5bi7eefx7XPv4YUzduYGpsDNc6OtBnsQCA1z2mGwxI0unQ9dprmB4bg3HvXtUqxmhvBWdASERERERERES0DER7yCSGYnqjUXVAR6AwUz7N2Lh7t9eegyIxgEyYaymeGh/HxOAg9EVF2F5bq/pMRu12uAUB+Tt3Apit7hNDSuWzlD/f+ysqMO5wwPD440hMT8fI+fPQG41Iy86W7nWgrQ2ddXXYsGsXVhcX41pHh99nE+2t4FEbEH7wwQc4duwY3G43XnrpJWzatCnSSyIiIiIiIiIiiphoD5nEADCUAR2A99AQAH6nGYv0RiMcOTmIu+8+DFutyCgsxP1f/nLQScH9zc1eVX2uixdxsqYGo/390l6D6QaD1x6JWWVluNTcjJmYGCRmZOCmyyW1Oov3dLKmBpfefhtT4+N48vBhnDWbMdjeDsd77/ncezS1gquJ2oBwcnISf/EXf4HPPvsM77//PgNCIiIiIiIiIrqnRXvIFM6ADuXQkM179sC4e7f0GXkFonhe18WLuNLejg27duGRmhq/waC8ElD5zIatVjhaWwEAyatXw2Wzoc9i8Qkye/7xH+Hs6sKNzz/H1v/9v33ahkftdtyamEB8WhoyCgulVuPxwUHVkDOaWsHVRG1A+NRTT2FiYgJvvvkm9snGRBMRERERERER3YuiPWSSKhxDGNAh7gu4urgYWbJ9AQH4VCDKW4sBIEmr9Tq/svVaWWkpHttVX+91TeWgEvkeiW6XC4laLbK2bkVueTkut7TgrNksrbPPYsHU6CjWf+UrKH7xRQDeLdbR3AquJmoDwpGRERw6dAh/8Ad/gJUrV0Z6OURERERERERESyZa9xtUW1c4lYMieWWf8v6UVX/y4E1t8rAYCLoFAUk6nd91qF1TvsehPIAtfvFFaNevh95oRGddHS63tmJFfPwXAeLcvobiYBSx4jGcFutoEhuJi3Z2duKFF14AAHg8Huzfvx+VlZV44YUX0N/fDwD48z//c1y9ehWHDx/GiRMnIrFMIiIiIiIiIqJFM2q3o6u+HqN2u8/vxNBLnJwbLdTWJb7ntFqlyb7BiGGc2rHK34mvxf3/xLZj8dmtM5mQV1GBwfZ2WBsbpRCxz2LxerbiecYGBvCfe/ZgoK0t6PqcVitcNht0BQXQG41SdaA47EResSg+k3Umk99Jxv6+70hb8grC119/HcePH0dycjIA4Je//CWmpqZgNpvR0dGBn/70p3j11Vdx8ODBpV4aEREREREREdGSCTR0JFr3GxSr59yCgFG7HekGw7zXeidVkvJnt85kwrDViuv9/dAXFUnhoNqzHWhrw9u/93uYHBrC1Ph40CEneqMR2vx8pObk4Gp7u1cFo7+f8kpE5SCW/uZmnzVFgyWvIFy7di1eeeUV6fWZM2dQXl4OACguLkZ3d/dSL4mIiIiIiIiIaMkFqjSLxvZi0bDVCtvx41LFXKBqQMB/5dxZsxkfzU3/DXScGvmzE/cz1BcVSROJ/T3bzro6TA4NIXnVKmQUFgat0nRarRhzOJCk1UrnkweAXfX1AKB6/+Iglq7XXkN3QwNujowgLSdntgU6yix5BeEzzzyDy5cvS6/HxsaQlpYmvV6xYgVu3bqFuLio3R6RiIiIiIiIiOiO+Rs6EqiyMNLEME5tUm+gzwS6H7fLhfZDh2A/dQoj587BLQgoVRlYqwxOxXP5Gw4ihofi3oV6oxGpOTnIe+YZbK2pQVp2NvrWr/d7H6N2O9yCgLyKCmmvwUDDUJRrVA5iAYDB06fhtFq99j6MBhFP4dLS0jA+Pi699ng8DAeJiIiIiIiI6J4iD5aitb0YCDxcJNhn9EajNMwj3WBAbnk5hq1WAEB3QwMmnU7Erljh9zz+gkYxLBSHg4jDStyCgP7mZjhycuCy2eDxeBAbGwvj7t1SQKcMLJUBX39zMzZWVSHdYPAZPqL2PfVZLLA2NsLR0oIt1dUw7t4t3e+o3S4NOYk2EU/iHn74YZw8eRJf+cpX0NHRgcLCwkgviYiIiIiIiIhoyYitqC6bDcBs+BQtlYPKqj1/VY9y548fR/vBgyh9+WUU7NzpE+ABs/d4uaUFjtZWZBQWouC55zATE4MkrVaq1lPyF5yKa0zW65GWkwO3ywXb8eNIzcpCXkUFMgoL0X7wIKbHxpBZUoJ1JpPX3oCbKiulsFMZ8InTkOXVhGp7DcrX6Ghpgctmk4a2iEJ5dpES8YDQZDKhtbUVVVVVmJmZwU9+8pNIL4mIiIiIiIiIaMnMp213MajtfRhqu7P8s+0HD2KwrQ3tBw+iYOdO6Ri1gG9qbAzCuXMoeP75oOFZsJbstLlKwanxcaRkZeF6fz/iU1MBALGxscgsKZH2KOyqr0d3QwMAIEmn82pX7jtxAo7WVqw0GrGpshJ9FotUjShWEyrvW2xjXmcyYXttrfQslouIBIS5ubk4cuQIgNkvqLa2NhLLICIiIiIiIiJaNP6GjSjfn0/b7mJQTgYWgy/4GaQir8CTf7b05ZelCkI5ZcAnrxS8k0Et4mTlmyMjmB4fx/jgIPJ37kRCaipcNhtWGo1Sqy8wO1hEbzRi8549PtdONxiQVVoK51zrs3hfeRUVqkNPxN87cnIw5nAA8K0AjfahM0AUVBASEREREREREd2N/FXfKd+PdOupvAoOssnAvU1NQFWV36o9eQWeMuSUVw4CwEBbGz744Q8xA2Db97+P7LIypBsMfoeRKFuuA0k3GJCk06G/uRl5FRVe61EGc1Kbc1WVFGwqbaqs9Nkr0F/IKz4z+SAU+T6L4hqideiMiAEhEREREREREdEi8LdnXrQNIVELA4OtUazac7tccAsCgMDhV2ddHfotFsx4PLjpcuFrP/+532q6s2YzHK2tWFVcLO3/F6wCT280wpGTg4zCQkw6nQC8KxYDhqBQH3oiCjhpeu6ZjdrtcFqtuNzSgv7mZq/PRdv3rWbFgQMHDkR6EQvB6XRi1apVkV4GERER3aMaGxt93tu9e/eSryPa8d9sRER0L0nUaJBZUoJEjSak9yMlWa9HXEoK1plM0pqCrTFRo0HOtm243tcH27/9G+JSUpBZUuL3Gqlr1uDG5cuITUxEbGwsEjMykFlSglG7HZ2vvw7Hr3+N+wwGJGo0cPz61xjq6kL+V7+K9c8+i96jR9Hb1BTwGpeam3Hlgw8w5nDgygcf+BwrniMlMxMP7d2LRI1G9b79GbXb0Xv0KJL1etXPiufX5ucja+vWsJ5lNGAFIRERERERERHRPWQ+k4n9ncPfHoVK2WVl+K1f/MLr2qN2O07W1ODz//ovxK5YAQAo3bfPq8V3oK0NfSdOIGvrVq/2XQCq+zjKh4XIKav4wt0XMFhbeLTsIzlfDAiJiIiIiIiIiO4hfRYLrI2NcLS0SFN9/fEXpAXbo9AfebDWVV+PoY4O3J6aQkxysuoxrfv34/Nf/QrxqalwWq1SSOcWBHQ3NMAtCCjdt8/rM9llZQGv67V+qLcQBxokE+y+liMGhERERERERERE9xC90QiPxwNnTw/6LJaAwZa/IM1fYBZKZZ44AdntcmHjf/tvmImJQZJW6zXVWLSlutrrpyMnB3qjEZdbWoLeZ6Ap0m5BQF5FhWrgJx+S4hYEqZpxOQeAwTAgJCIiIiIiIiK6hzitVsTGxkJXVBS0NVgaRiIIGLXbpaBNrWIu1OnD8gnIj9TUBAzessvKkJadjbNmM660t2NicBBOq1V10rDSWbPZq8pQDAzdgoD+5mZsrKryCTHFexju6cHKoiIAkAJSvdGIzro6bKmuVq1SXM4YEBIRERERERER3UMC7Zcnr7oDZsM8AOhvbkaSThe02tBls0Gbnx8wuBNDR/la/BEDu8utrQCA3O3bpXWHU9EnDy/zd+7ERj/7Jor3sLKoCNtrawFACiJb9++H7fhxAOptzMsZA0IiIiIiIiIiojukFqxF68CKQOGa2FLsFgQMW61BAzX5fYc6qCPdYEDpvn1B1ymGes6eHqwuLsaa0lJsqqwM+ZnKqwzl4WWgc6jdg/isNuzaBeH8eWzYtSuk6y8nDAiJiIiIiIiIiEIQaH89+V59AAIOwIhmYkDmFoSQAjXlHoVqbcehhqUDbW1eLbxiqKefq+ZT7iMoD2TPms0A4LVWeRDqL7wMNtFZ/H2yXo/2gwfhmZ7GpNMZ5CkuPwwIiYiIiIiIiIhCEGjyrdrQjmDts4st1IEhagHZqN0uVd8FCvaCTfcNNi1Yvo6TNTUQrFYAsy28gUI9+V6HAKQ9Df21QfsL/lwXL+LCsWPSPoXK34v7FU5NTECwWqEzGiP+vS4GBoRERERERERERAGIYZHeaAT8tNoqA6hoqBwMJZwLNcCTkz8PtWnC/tqOg6311tgYklaulFp4/bVCi5WFKVlZcAsCcsvLsXnPnpCuIz9Hb1MTErRav7+3NjYiJSsLeRUVyCgsxIVjx7Clujoq28bvFANCIiIiIiIiIqIApBCtqioqgr9gQgk0Rf6mFAcKDsXfOXJycKW9XXpfvt+ftbERjpYWbK+tDfrMRu12uC5eREx8PJJWrlRt4VULHcXqviSdLqQ9DeXncgsC8ioqkFteDqfV6vOM1plMcLS0wGWzIUmnQ8HOnSjYuTPkayw3DAiJiIjonvUnf/In+PDDDxft/Dt27Ljjczz66KP46U9/eueLISIionkLtQouGsjbb427d4e0J6A4jETenhvonsX39EYjVhqN0vtioCgP1/osFumc8uBSDOXSDQb0WSy4cOwYPNPTyJmbUqxcrxgGAl/sdSi2QeuNRnTV1wdthx6123HWbMaV9nZMDA7CuHs3ssvKkJad7fNM0g0GbK+t9drn8G7GgJCIiIiIiIiIKAB/+9dF45Ri+bRetWBLWRno7/hAk47lv8suKwMAnz0LxXBNHt7JKw/HHA64BUEK+MQWYeVAFPEzmaWlSNBq4bp4Uap0FNfRVV8fUpt0n8WC7oYG3J6eRq4siPRXLRnoGdxtGBASERHRPWshK/P27duHjz76SHrNyj8iIqLlKVj4pxyQEQ0Bkr89/9TWr6wMDHZ8uNdXThBuP3QI3Q0NcAsCNlVWAoBUQegWBKl1W21AiLKdeNhqxbDVCu369V7PPViFp7xyUS2IXE4VoouFASERERHRAjh06JBXSzHDQSIiouUp2NCOYBV6kaBcc6DQUj6lWKzsCzZdOJTAdLinR9pzUDxu1G7HlfZ2eKanva4NzFYeyqsO/d2P+Lvc8nLp98rjg1V4yveQVO5VeKfVoNFcTRoOBoREREREC+zRRx+N9BKIiIhonoJVky1Exd1CCWcYiVKo04tDDUxj4uN99hw8azbjWkcHVhcXS9WDykBNLdjTG41wV1TALQg4azbP7j1YVYVNlZXos1jCvje179Tf3oahutPPRxsGhEREREQLjNWDREREy1ewfeeiaV+6O5muHGpbbaDjxGnA+Tt3IqOwEBeOHZsNK2VWxMdjTWlpwOnIPmFbVRWSdDr0NjUhr6ICG+fCz7Nms9Su7G9qsXxCsbhmtSBSbBPP37lTOn84xPuQr285Y0BIRERERERERLQMKKvv/IV3gdpe5b8LtbXY33F9Fgv6m5uxsaoKk04nxhwOOK1WaSqwvC1YHCwiX7MyGFQL2+SDRNwuV9BnJF9TsJbolUVFPkNRAglnr8flhgEhEREREREREdEyoKy+81fNqNzDT3U/PtxZazEwO2zEkZMDvdGItOxs6T2xOs+4ezcAoLuhAQBQum+f15rf+z//B9319Sj47d/GxqoqaXgJ4F31J04pzquowCM1NQGr9YJVRoot0SuLirz2SwxFOHs9LjcMCImIiIiIiIiIloH5tAX3WSywNjZKA0Tm21o8arfjrNkM4IsJwE6rVaoazC4rk6YWO1pbsbq4WGoL9mfk3DlMXb+OicFBPLR3rxQEApAGqSj3WAxUEZluMEhViv4qKO+k8u9unna84sCBAwcivYiF4HQ6sWrVqkgvg4iIiO5hjY2NAIDdc/9vOfniv9mIiChajNrt6D16FMl6PRI1mkgvJySJGg0yS0pU1yu/n3SDQTouWa/HUGcnXDYbEtLTsXbHDr/n8HctsS33/FtvwdnVhZTMTGSWlCBZr0dcSgrWmUy4OTqK3qNHMT4wgJHz57H+q1/F+mefxX0GA1IyM7Fh507pXOI6Vz34IG5NTuLhP/gD3Jeb63W+RI0GvUePorepCSmZmXho716fz8uPiUtJQWZJCQCovhfKM7yT57/csYKQiIiIiIiIiO45obbaLhfK+5FX1m2vrZX+HA75HoEumw2ri4uxprRUdfiHWP2XsXEjEjMykFFY6HOM2jqzy8qk3ymPVavYC2VC8Z1U+gXav/FuxoCQiIiIiIiIiO45d1u7qPJ+/O2XF2oAJp/0m/P449Dm52PDrl2YdDp9juuzWJCs1yMtJwfXL13CyGef4cKxYyjYuTPoOgNR22NRvu+hv2PuZNL03RYch4oBIRERERERERHd9dT2qovWAGigrQ2ddXXYUl3tVWEXSCjVd0DgSkN5YHjWbJb2EkzSauF47z20HzyI2NhY6bPi+ayNjXC7XJi4ehXrn30W+Tt3Ykt1dUjrDMeo3Y7Oujq4bDZp38OFdrcFx6GKjfQCiIiIiIiIiIgWmxiM9VkskV5KUJ11dbAdP47Ourp5n0MM4tSGdORVVMAtCFI4aG1sROv+/Ri1272OjY2PR1ZpKTZVVkKbnw/P9DRSs7KkzwKzFX0ejwdjly/DPTKC6YkJPNvQgLTsbHTV1/uc806IE4i1+fkLEuCN2u0+a/T33O52rCAkIiIiIiIiortetFeGySv5xOo7tSo8fxV/obYOpxsMSNLp0NvUhCSdDutMJjhaWuCy2dBnsUjVfZsqK6XfA8BKoxHxaWm48uGHGO3vR5JOh4f27oXTakVsbCyyt21DfEoKHqmpAbBwrbry+7qTCcRq7tV2YjUMCImIiIiIiIjorqdsbZ1PG+9iCjS8Q+6s2Yzuhga4BQGbKitx1myWftff3Cx9HvAfGsr38Us3GLCluhqddXXSvn7AF89Lvhehx+OB6/x56DZv9glclddYiEBWfm3xvtaZTD73NN/BItEeGi8lthgTERERERER0T3no8OH0XvkCD46fDii6xDbXPVGIzZWVYUVVvVZLOhuaEB3QwMA+HzeX1u102rFmMMBp9Wq+lp5DZfNhpSsLGRs2ABtQQFKX35ZCuKUk4zFdt35tOoqW37FfRBTsrJ8hq/I7ymU9vHFbCdWO/difm4xsIKQiIiIiIiIiO45GQUFSNRokFFQELE1DLS14WRNDTzT09jy4ot+21zlFXK55eUYtlqRW16OtOxsuAUBwGxLsNp+g/Kf4nn0RiMgCxPVKunECsucxx6DNj8f8WlpOHf0KBLS0nwmGQPelY2l+/b5rDuUEE6t5Tc2Ph5rSkulz8urH/3dT6jnXgjy7zDcc0dTizMDQiIiIiIiIiK66ynDqi3V1dAs0LCL+eqsq4NgtUJnNIYcbrkFAVfa27HSaETpvn1SGKdG2VYtnaeqSnpfDAI37NolPR8A+OV3voNhqxWDZ85g5vZtpGRlwXP7NjIKC0N+ZqFOTBYpg0rlPoiAd7Wj02r1uR9/FqudONTvcCnXNB8MCImIiIiIiIjorqev/r8gAAAgAElEQVQMq5ThWSTIh5EEqrATAyS90Yhf//CHmHQ64Xa5wr6ePJASw7pLJ07A/qtfQTh/HgkpKdKxbqcTMXFxuD09Ddy+jbjkZKTo9TDs2KG6VrUwTxmABaqYUwsP1b4jtVAtlIAt2Pc9330MQ/0O57OmpcSAkIiIiIiIiIjuetFSrSUPorLLykIakCIGSV319Rg5dw4xK1YgSasN+9rK/QJ7m5qQWVoKAIhPScGtiQnojUaMX72KJL0e6evX49bYGFYWFWFLdTWcVqvf56cWdinfC/QdzKfddiEDtvm2+4b6HUY7BoREREREREREdNeLhmottam8oX5O3Gtvy7e/DWC2Yu9O1uEWBORVVGBTZSX6LBZpWIvTaoWjpQWjFy/C8PTTuP/3fk+qqhODsPlW2wX6DkINcBdr375oCZAjhQEhEREREREREd2V5htkLRZxIrA2zL0P5XsHBtpzMBjxebgFAf3NzdhYVYV0gwHrTCa4Ll7EyLlzSNbrkZqTA8PTT2NrTY1qddxChXTK7yeUc6kFeQvxPS9lgDxqt+Os2QxAfbhMJDAgJCIiIiIiIqK7znyr9RaTPNwKJRQKNKV3PqGYGOzlVVRgo+x86QYDtOvXw/Hee2g/eBCxsbEw7t7tt3V2oartFqqtOFqmAYf6nfRZLOhuaAAAJOl0UfF3kwEhEREREREREd115lutt5jCrVJTmzrs8zuEHooFCijXmUxwtLTA2dMDXVFRwGe2UNV286kGVPt9tLQHh/qdrDOZ4BYE6c/RIGZmZmYm0osI5IMPPsAvfvEL/PjHPw543GeffYYHHnhgiVZFRERE5GvHjh0AgFOnTkV0HdGM/2YjIqLFNtDWhs66OmzYtQuTTmfE2osXou010DlCCdJCaWOVnwdAxFqy1dqf1UI2cbiKv98vNeXzi7bW4VBFdQVhf38/enp6cPPmzUgvhYiIiIiIiIiiQLBgrLOuDrbjxwEAz861cUZCn8UCa2MjHC0t2F5bO6+wKFClnrh3YMfPfoaRc+d89gs8azbjo7/6KySkpQVsY1VWvS1k6CZvkb7c0gLAf3Dmr/1ZKdRqwaXaf1L5/JJ0OvQ2NUVN63CoojogzMvLw7e+9S3su4MNOImIiOjuIVboRbtoXycrHImIaDkL1sa5pbra62ekiC27LpsNfRbLHYdFaoHXWbMZHX/zN7g9NYWE1FRkl5VJx13//HPcmpxETGwskvV6v+cUpxmH0+rqL3xTvi9+V46cHFxpb5eOS9LpfD7rr/1Zec5Q25uXal9CZWAZLe3O4YrqgJCIiIiIiIiISM5fACMPkiJZOShKNxiwvbbWq/1UpAy9QmkHVgZeo3Y7BtvbkZCejtTMTGzYtQvthw5hsL0d44ODSMnKAmZm4BYEXDh2DAU7d/pcXznNOBSjdjtO1tTg6unTOP///h8MO3ZIaxbX6BYEJOl00nAVvdGIlUYjbo6MSOsT70P+vNSCvPkGfYsR1KkFo8p1L+U05IUUsYCws7MThw4dwptvvgmPx4MDBw6gt7cXCQkJ+NGPfoS8vLxILY2IiIii3D88NRzpJSxL3/yvlZFeAhER0R1b6CBpoYQSHonkQZrb5YLt+HGMX7mCpIwMr9ZU+TmVgVefxYLxwUHkPf20FER2vvYapq5fh+GJJ/BITQ10BQUY+PBDDJ87h6O/+Zv40v79yC4rC9jOGyy87LNYMNTRgcmREVw5fRrXL10CACkQdFdU4Ep7OyYGB2HcvVu6l+yyMnTV1+NyS0tYg2Pm21IcKKibT/txNE7FXkgRCQhff/11HD9+HMnJyQCAX/7yl5iamoLZbEZHRwd++tOf4tVXX5WOP3ToUCSWSURERERERETLRCRbO8MNj8Q1ugUBn77+OiadTsQlJ2P1k096rT/Q/oDKlly90YhEjQa3JycxAyAtOxvlP/4xjv/O78B+9ChiV6xAyurVSMvOltqK1aoV5ddcZzKhdf9+OFpbERsfL7UGi8EmACRptQAgTVsGgGsdHVhdXCytUb4XoXH37rCCuYVuKZ5v0BeNU7EXUkQCwrVr1+KVV17Byy+/DAA4c+YMysvLAQDFxcXo7u6OxLKIiIiIiIiIaJmY7950i7GO1v374ezpgb6oyG94pFzvQ3v3YqCtDdY338Tt6Wlkb9uGHYcP+92XT0l+v6N2Ozrr6hATG4v78vIwMTgo7XuYUVCARI0GsYmJiLvvPnTW1eH8W29h8549qiGd/JpiKLaquBhrSkultZcqZkWM2u1SeHjWbMaK+HisKS2Vzi+Fdws4eVj5PEMNiOcb9PnbI/FuEZGA8JlnnsHly5el12NjY0hLS5Ner1ixArdu3UJcHLdIJCIiIiIiIiJfkW4plq/DZbNBX1QUcFqx2nqdViuSNBpkPfyw6meVIaC/tlj5GrZUV+NySwvcgoDzx49j5Px5ZH/pS3D29OD8v/4rMh9+OOD9yK8Zaigm/8ymykopLBQpw7s7mTCs3D8RmH2eoQbE8w36luvegqGKigQuLS0N4+Pj0muPx8NwkIiIiIiIiIj8ivS02HDbZtXWG05YFSgQFdt+gdnW4iSdDtbGRowNDMDtdCKvogJZW7diqKMDq7dsQcHzz0NvNKJ9bks3f4NR5hOKqX1G+d6dhLuB9k+c7/ooSgLChx9+GCdPnsRXvvIVdHR0oLCwMNJLIiIiIiIiIqIoJK8+i3TlYLC2WbW2Yrlwwip5mKjWXp2k06G3qUmq3nO0tGDqxg2kZGXhkZoapGVne32mq74e3XPTnuWDUcIx30pAaR9DQcCo3R70s/6GtdyNrb6REhUBoclkQmtrK6qqqjAzM4Of/OQnkV4SEREREREREUWhaGktDlbBKB+G4RYEJOl0SNbrceHYMWyprkZ2WVlY15OHiV319T7PQBmciZON5UGacsiJWHUYahWeMhCc73ehDDSDfTbQsBZaGBELCHNzc3HkyBEAQGxsLGprayO1FCIiIiIiIiJaJiLdWiwKVv0n7guYmpWFK+3tmBgchMfjwchnnwFAwIBQGcQpX+uNRjhycqA3Gv2uJ9j61IaNBKMM6sL5Lgba2tBZVyeFo+F8djG+8zvZB/FuFBUVhERERERERERE/gRr1Y3kWvwRwyy3IKD3X/4FsfHxeHDPHjjefx9bqqsDXkMZxClfO61WjDkcuNzSAqfVGnQtCxWGKYPJcL6Lzro62I4fBzAbjobz2WDHjtrtOGs2w+1yIUmr9bunoly0VKJGCwaERERERERERBS15K26QOTDnFCDJTHUGrXbMWy1zq4/JgbPzu37F4i8Ym6grQ3njx5FbEKCFMzJw0drYyMcLS3YPteZqRYELlQYJgaTTqs17BZpMRQNFo6GS/z74WhtxdTYGJIyMkJqW46WStRowYCQiIiIiIiIiKKW2Kqrzc+PijAnlGBJWbEn3w8wFPKKudb9+2E/dQoJGg2cVivSsrNx1mwGAOSWl0vhY5/FAgCqQWCoYZi/SkP5xGbMTQ4W3wt1X8XssrKw2qpDJf79WFVcjIzCQiRptSE950hXokYbBoREREREREREFLWibWptKMGSsmLP32fE1lgAPm2xYmC2YdcuTI2PI6OwEHqjUaqWi42PR5JOpxo+KgOyUNY8arfjZE0NrnV0wC0IXvsTqk1s7qqvh7WxEWMDA3APDwMIvK9iMKFWOSqDxFD+fnC/weAYEBIRERERERFR1FqOlV6hVuz1WSzonms5VrbFioHZxqoqfH1uyGtXfT1cNhtWFxcjq7RUdU9G8c/hhmJ9FguGOjowPTYW0v2sM5ngaGnBzdFRpGRlYcOuXeiqrw/5eoGCvmDrDCV8DfQZ8sWAkIiIiIiIiIjIj/lUn4Uaaq4zmeAWBACzA0DkAZu/UE78udBDOORr2VRZGXQwjLJ1OtzrzSfoE9cp/xkK7jcYHANCIiIiIiIiIqI5ymBsMarP5NcQW3m76uul66wzmaTW47GBAZ+9/kIJKsMNxdINBq+2Yvl6/FUlykO9cK8339AulInGykB3OVahLjUGhEREREREREREc5SB4J0O+FBz1mxGd0ODtNffqN0OtyAgs7QUrosXcbKmBkMdHYiNj8fw3OTgqYkJjHz2GabHx7Huy18Oep1QQzF/61a770Bhabgh3GKFdmwnnh8GhEREREREREREc5TBWKgDPlr374fLZgMQPJi6OTIi/QeYDbVsx4/D4/Fg4to1AICusBDxKSnYsGsXJp1OqYIwLTvbq9IwUCgZSmgpBmpuQUCSTqdaHejv2dypQENa5ovtxPPDgJCIiIiIiIiI7nnyMC3cyrM+iwUumw3a/PyQgqnEjAwkZmRgJiYGXfX1SNbr4fF4MD02htXFxVhTWgoA6G9uxqTTKQWB22trAQCaueuoVcvJQzfxHPLfK+9V3HtwsL0d44ODPsfKLXTVn78hLXcydTia24ntgh2WHgtMRSYYdNE1TZkBIRERBTU8PIwf/OAH+LM/+zOsXLky0sshIiIiIlpwfRYLrI2N6DtxAlmlpWFVtAUbHqIMvDZVVgIA7CdP4tyRI1hVXIzY2FhklpRIIeBZsxl5FRWqQaD4nt5oBKqqfNqAO197DdNjY9i8dy82VlV5DUAB4FPtmKTTYXxwMOSAM1yB2pjFwSihtjIvF3bBDvPp2aC2cmslDDoDLD0WNJ2eva+9j0XXfTEgJCKioF555RV0dXXhlVdewYEDByK9HCIiIiKiBbfOZIKjpQWO1lY4rVavijY1yvbYQMfKAy8x3AMA4fx5TI+NISUrCwmpqdIAkq76evQ3N2NjVZXqRGMxzNTm52N7ba1P6HbpxAkMdXQgSavFOpNJCgTdgoBhqxXDPT1YWVTkc975VOyFwl/gpxyMIr8H+c/lyNJjQUPrbHWkLlWHvY/thalo9n7En9FkxYG75H/pOZ1OrFq1KtLLICK66wwPD+Mv//IvAQD9/f342te+hpSUlAiviu5VjY2NAIBd909GdiHL1LFLs//d3b17d8TWwH+zERFRtErUaJD5G7+BFUlJWF1Sgg07dyJRo/E5btRuR+/Roxj86CN0NzTgWkcHUjIzkVlS4vfcyXo94lJSpHDQ2tiIqevXYSgvx9qnnkKSRoMrH34I56ef4np/P7IeeQQpmZlYZzIhUaNBokaDZL1emmaszc/HUGcnXDYbEtLTva6dqNEg+9FHkZqdjQ07d6LPYoH95Elo8/ORsno1rnz4IXQbN2JLdTUGPvwQyXo90g0GZJaUqN7vQpDffyjXSNRokFlSgpujo+g9ehTJev2irW2x6NP0iF8Rj5K1JdhZvBOaZA00yRqUrC2BJjn67oUBIRERBXTw4EH09fVJr69du4YdO3ZEbD10b2NAeGcYEBIREQWWqNEgZ9s25Gzb5hVIiaGgGNL1NjVBm5+P1SUlAcNE+XnFAC5Zr8dQZydGLlzAzO3b8Ny6hasdHYhLTMSw1Yqhri5oN2yQwkQxHOs9ehTWxkYMdXZi7ZNPYu2TTyIhPV01dFNeLyE9HQ/9/u9Dv3mz9OeBDz9Eb1MT4lJSvAJG+b2GEsoNtLXh/e9/H6lr1uC+3FzVz8vXE47eo0fR29SEW243hs+elc4Z7hoXgl2w4+iZo9Cn6UMK+DTJGmzbsA3bNmyLykBQiS3GREQU0LvvvhvwNRERERHR3Ui+b56yRVj8GWi/Qb3RCKfVKv2UTwfeXluL1v37YT91ShoMkv+1r+Ghb39bOreyLVdvNMLj8cDZ04M+i8VrL0L5WpT7/SmHdoh/9tfGG+7+f511dbAdPw4AyC4rW9D9A8W1uQXB65yLtUdhoCEi0bx/4EJgQEhERAHNzMwEfE1EREREdDcKFAqGst+gIycHYw6H9FP8vBgerjQaMTE0BM+tW0jNysIjNTXILiuTzqMM8JxWK2JjY6GT7R2oFpSdNZvR+dpruHTiBJ48fNjvnoL+7iPc/f+2VFdjanwcqTk5GLXbF3T/QHGNo3Y7knQ61T0TF1KgEDCa9w9cCAwIiYgooDVr1uDKlSter4mIiIiI7nbBQqhAk3kBqFYQioHeJa0WVz/6CPH33QfjN78pDSeRUwZ4apWLyjWO2u0YbG/H1PXrGOro8KqAVK7T3/qDBaDKCsl1JhPu//KX0dvUhL716/HQ3r0LPnlYuaZgawwkUJVgoBDQoDPclZWDIgaEREQU0MaNG70Cwo0bN0ZwNUREREREofMXgoVCHkJ11df7VOqpTSZWVhiKFYHiT73RCEdODuLT0jApCBi/cgVjAwN+gzvxOvLzjtrt6Kqv97nWqN2O1v37cb2/H4YnnkBWaalqq7J47MmaGgx1dMAtCKqThP09S7cgoL+52acyUv5T7XOLNSE5VOI62jQC/uXzZgC+VYJ3ewgYCANCIiIKqL29PeBrIiIiIqJoJU4MdrS0YHttrd+AKliIpRaAyd8LdU88p9WKMYcDeRUVKPnOdzBy7hy2VFd7raN1/364bDbpPXkIedZsxpX2dkzM7Vsov1afxQKXzQZ9UZHXva4zmeAWBFy32dB+6BA2VVaiz2LBtY4OTI+NBXh63sR7zKuowMaqKp+9FZX3PdDWhs66OqRlZ2Pw9Omgz2axiesv/GoFqrZW3bWtwvPFgJCIiAJ67LHH0NzcLL0uLy+P4GqIiIiIiEIzarfDLQhIycqCy2aTBnsojwkUuonUAjD5e/K24vZDhwAAueXlXgGa/Dh/QaQY8mnz833CyD6LBd0NDbg9PY3c7dt9qvX8nTvdYECSTofuhgYAkPbycwsCAGBTZaXX8/BXvSj/jPiefM9EJXF4ydqnn8bGqqoF2y8wUItwIPLn80SYlYzzveZywoCQiIgCiomJifQSiIiIiIjC1mexoL+5GXkVFV4DLpTHdDc0wDM9jRyV0M0ff5OCu+rrpfOdNZsxdf06rtts0MwFfmLQ5q9aUS3kk4eQ8lAv2J6FcuJQlIzCQuncam3F8kpIAF5VkWLQ2NvUhCSdLmg1oFgZuaW6OmCQGA67YMf+f9sP29BshWU47cB3sm/hYkwwjrbQkQEhEREF9N577/m8/tM//dMIrYaIiIiIKDixejCvosIrTFMGe8FCN3/EIM0tCFL4mG4wQG80Qm80YnpiAk6rFVM3bqD77/8eKxISpL3+ArUjBwqx/IV6avelfM9ptWLK5YJ2/XoA8NrDUH6s3mgEFNV+/tqqg8kuK1MNBsWqTSDwM1cL0Cw9FtiGbMhflb+gLcLBwrr5TjAOdF5LjwWNv25Ey/kW1H69NuIhYUgB4djYGBwOBwwGA1JSUhZ7TUREFEUyMzPR19fn9ZqIiIiIKJqJ1YMbq6q8Aii1cE4e8IVKDMjcguB1PqfVipsuF7SbNmH86lWsSErC6KVLWJGU5PVZtyDALQgYtdsXZHCH8r4G2tpwsqYGnulpr/X62y9Req+qyiugDCfADGet8nbnh/bu9RsGKqv25EHdQgZqwSoEQx1eYhfsMJ+eDT8rt1YGPK+pyISW8y2wDdlg6bFEfDhK0IDwxIkTqKurw+3bt/HlL38ZMTExeOmll5ZibUREFAWuXr0a8DURERERUbQRA7FkvR7/uWeP1OYqThHWG40A1APDUMgnCsvbl8Wfl06cwOjFi1jz6KNY9eCDyCgs9Nrrb9hqhctmC6lVNxCxGs/tciGvokK6fmddHQSrFTqj0WeISLCBK4tNuZchEDwMFC3WlOH5VggqWXosaGidDT91qToYs43I0ebAmG30OdagM6D267VSMBppQQPCxsZGHDlyBN/61rfw0ksv4bd+67cYEBIR3UNMJhOOHz8uva6oqIjgaoiIiIiIghMDsf/cswe2uX/LZpeVSVOEL/z7v6Ozrg4bdu26owEaYlvxyZoaxKWm4tb4OLbW1EBvNCIhNdVr/71Rux1d9fVwC4LqIJJgk5TVKPdQFMn3/wO8W4qDDVxZaGr7NSpbpe80DFRW7oVbXejvWmJlozHbCOuAVbVyUV79aCoyQRgXpHux9FjgcDlgHbCibH2Zz/GLFXjOR9CAMDY2FgkJCYiJiUFMTAySk5OXYl1ERBQlHn/8ca+A8PHHH4/gaoiIiIiIQqcMyuQVfvZf/QoA8Oxcu2u4xOCr78QJXHr7bXg8ntkMJTUVzzY0+Oy/J1Yr5lVUwLh7t08QOJ9qRrEab7C93WtSc3ZZGdKys9FnseBySwv6m5vDOm+o/AVz8lAwlPu606BMWbm3UKGbWNmYo82Bw+UA4NsqrKx+3PfMF+GnGHgas42of79eCg0XeuDJQggaED7yyCP47ne/i6tXr2L//v148MEHl2JdREQUJQ4fPuzz+p//+Z8jtBoiIiIiotApB2WIlXLyCr9wyId5dNbVwWWzIbe8HPf/5m9KFYT+zimGk3qjEU6r1e/vw6lmFKvx5IGcSB5Ibqyqgt5o9BlOEip/wzb8BXPyUHAp2peVlXuBhFJtKK8crNpa5VVBqHZt+U+1CsH69+ulUHCh2pkX2ooDBw4cCHTAl770JSQnJyMrKwsPP/wwXnjhhSVaWnicTidWrVoV6WUQEd11/uZv/sbr9Y0bN7B79+7ILIbueY2NjQCAXfdPRnYhy9SxS7PD5iL532H+m42IiBbaqN2O3qNHkazXI1GjCekz9+XmouC553Bfbm5Y1+p8/XV0/N3fYeTCBYxcuADExmJjZSXikpKQuno1tn73u9AXFUnr6nz9dTh+/WvcN9dam1lSgkvNzehtasIttxvDZ89K607UaJBZUoJEjUb1ngK9p83Px9odO7zuP1mvR1xKCjbs3Im1O3ZI141LSUFmSUlY9330zFE0nW5CSkIKStZ+8Vl9mh7xK+JRsrYEO4t3QpOs8bq2GEaK96VkF+w4euYo9Gl66bPzoUnWYNuGbdi2YZvPedoutuH7b30fazRrkJuRi6NnjuLvTv0dOuwdyEzPhD5N77MG8X4z0zOx97G9yM3IRcnaEtU1apI1Xr9Te1b6ND3c025MTk9ic85m7Ni4A6OTowty7wvFbwWheW7ktOi+++7DtWvXYDabUSnbWJOIiIiIiIiIKFL8tbCGuqef8rhAn3O7XHCPjCA1MxMJqalw2Wy4cOwYrrS3A4DX0BG1ab3AF23BV9rbMTE46LNutXsatdvRun8/XDab1/GB2neV+wreSSWfv6o3g86Afc/MVTC+ZYEmwD6HoU4qXmh179bheMfslkll68tU9wkMZUBKqPx91jpghW3IJlVaRlursd+AcGhoaCnXQUREREREREQUNrXgy1+gpkYZsgUK3ZK0WiRlZCA9Lw+bKiulduOVc1OR5WsQ388oLPR6P91gQJJOh4nBQaRkZcEtCBi126W1rDOZfO6pz2JRHWwSTuh3J4NIgu0RGMo+gwsdxIWq+olqr59iqClajGnJwrgA82kzygvKYR2wQhgX0DPQA8+MBxeHLsIu2KOu1dhvQPid73xH+vO1a9dw69YtzMzM4Nq1a0uyMCIiig6JiYm4efOm12siIiIiomihFnz5C9TUKEM2f6GbGOJt3rMHmyorva6rHEgCAE6rFVMuF7Tr1/tUIorndgsC+pubkaTTAYBXyOav+k9+rsWYPjyfacqhBJWLEcQB/vdHFJWtL5MmCKtZ6EnC5tNm/JXlr5CWmAbrgBUOlwMVRRXIW5mHd8+9iyMfHcH6Veux97G9UVE5KAo6pOR73/seOjo6MDk5CbfbDYPBgCNHjizF2oiIKArIw0G110RERERE0cZfoKZGGbL5C936LBb0NzdjY1VVSMFZoNBMvMao3Y4knU61KtDf8fMdNBKq+UxTTjcYkPGcCf/aY4EpVT2oW+ggThSoVTdYeOjPfEJSubTENBRmFiJbmw1jthGVW2e36uuwd6DYUBw1VYNyscEOuHjxIt5++2089thjePvtt1k5QkRERERERERRTQzUwgl3xPBt1G73+rNoncmEjVVVWGcyBT021DXIjwnleDG867NYQr4vkV2wo/79etgFe8Dj5PcZDjGos/SEv7Y7YSoyoWprFUxFJp97nO+a5vucxet++/FvY8fGHTjddxq6VB0MOgPKc76C4pjfQeHIC/jkk0E8tvcPsfr+H2Hbtn9CW9tAWNdZDEErCFNTUxETE4OJiQnodDpMT08vxbqIiChKJCcnY3Jy0us1EREREVEkzafCK9hn5JVzAHyq6OSVhV319QGPDWcd4dzLnQwaCXUoxnzblhdrT71gVYDyysT69+u97nG+a1J7zm0X23C4+TAKMgtQ/US1tBZxfcZsI+rercMnth54zv4G4ChA361VeO/Hffix5jU4HGO4eVMLoBexm96EZ10HkFCMoQ+S8D/+xzvo6toT9rNZSEEDQqPRiDfeeAOrV6/GH/3RH+HWrVtLsS4iIooSRUVFOHPmjPTaOLcBMxERERFRpITSBqsM3oJ9Ri0UEv+sPFegY8NdezgtveGEd8pgbbGHYkSihVhJeY/+1iQP9VrOtwAAKrdWSqGf2nM+/B9/jbe6/h0pK9LwT3WDMGq+hE5nKxzDQ0D2OWBCA9w3DIyuBD7WAeO3AZQAqS5cXPlLIK4QuKkFAHjshYAHgKMQANDbK8zv4SygoAHhd7/7XYyNjSEpKQnvvvsutmzZshTrIiKiKNHZ2en1uqOjI0IrISIiIiKaFUolnTJ4C/YZZSgk/lltIrL8WGVrsRp5wBhoKIr8OPEe5rsPnjJYW6wAb7GFE2wGukd5YGrpsaDx143weDy4duMa4lfEQ5eqgzH+yzhc90ukPGjF55/fQMzFh2DQrcXHHw/i0+sJwMMaXL8Vh+ux76J/5NdAihtwGoGLxcBIFpAxOBv6jWu/uHDOOWD93P+GOlc6+3Nc+8WfAWzapJvfw1lAQQPCI0eO4MKFC/je976Hf/qnf8KNGzfw3HPPLcXaiIgoCszMzAR8TURERES01EKppFMGcPNtnT1rNsPR2orVxWWKrSYAACAASURBVMXQG40+Q0JCqQBUHuNvKMp8Wpftgh3m02YA3lVwi10xuFQWIthsu9iGmiM1GLs5hhMdv0LWyNOYHEmH09OPa7Z03BrMxktNrbi55lVgLB240Q3MAOh1fhHkFY4DK2aANCcQdwuYSgLsD8yGg+NaINU1GxAqzVUJij/j4oDExDhs2pSB//k/S/D++w5UV0e+GC9oQPjzn/8cTXN/IX/2s5/hG9/4BgNCIqJ7yJo1a3D58mWv10REREREkRDOfn3zDQTFa+iNRjitVrhdLsTGxyOrtBROq9UrtBu12+EWBORVVASsZgx178BwWpfFdbZpBDR0NgAAdKk6KUwLN1ib78TfheYv8AzrHPZR/Owf38Xxj/8DtvdW43bxO5ha04WZyRR0ugVg9FPgxirgZh5wdf1ssJd7Gsi5ADgKgEubAc3QbFWgyFEIJEwAaSNAmgCMZANnv/RFtaCiUjB2bizwE6Wb8fd//zI++eQqDh5sx8svl2LnzgLptN/61kPzek4LLWhAGBsbK00ujo+PR0xMzKIvioiIosfQ0FDA10RERERESyWc/fru9BqXtFoMW60oeO45PFJToxra9Vks6G9uxsaqKp/AUhlmqq1XeYx4XChBqLjOwq9WYM/22QEX4VYLKttuQ93rbzFZeixoaPUNPNUcP34eP/zhB1i9OgW9vQImJ28jKWkFMjKS8PHYLzBzfwegLQY+KQUmbwN9m4H8M0D2RWBqAOh6ajYcLDgN3EwEHBuA7idm31ttn/05tHb2YuNaoHsHACApKRZutwfJySuQoFkBvT4ZL/7h7+P0wHsofLwML37jCRgM6V5rNRjSvYLBaBM0IHz66afxu7/7u3jooYdgtVrx1FNPLcW6iIgoSij/jyH+H0VEREREFAn+qvXmM9E4lGu4XS4MW61IzMjAOpNJuoZ878FA1YPBwkxxb0NnTw8cLS3YXlsbVtuyvNrwiXnetzwUjJaWZFORCcK4gBHXJC62rMKhD9uRkZGE//t/zwCYweefj+H69akvPpDqAkbPAYPyvf9GgdTC2TZhcU9AMejTDgGrLgPTcUDaMGA3AqN6IH0YOP/Q7HETs+FewtBGPPh4HC5NfYyv/cYzuNABqQJQrHQcmXAiBjGISbmOw1UvRrT68k4EDQhfeuklPPnkk7h06RKee+45bNq0aSnWRUREUcLtdgd8TURERES0FPxV6y1kVaH8GpsqK6Fdvx56o9FnSMmo3Y6TNTW41tGBLd/+tmr1oDI8VA4gEcPB2Ph4uGw29Fks0vpDaUmez0Tj7Rojbp62SmGqPBQUW5JH7XZ0vVUvtVgvRPCqXId4Pbt9FBZLH/T6ZBw7dgFFRSvx5ptWjI/fB4cjBtPTvfB4er1PkuoCNncAMZjd/y/nHFDwEZB5Cfj4Ge8BIcrPre8A4icBpwFY6QDu70bC1Co8GPMC7i++hr6x1ah+eQdiYgCTaR0MhnTUv1+PptODeHzrTfywdrbS0i4kSZWOIxMjAICMlIygFY/y52A+bYZrwgVtinberdQLyW9AePPmTTQ1NeGb3/wmMjIy8OqrryIhIQF//Md/jFWrVi3lGomIiIiIiIjoHrfOZIJbEOAWBIza7VJoFer+foHI9x1EVZVXW3BXfT1cNhu0+flercVDHR2YHhtTPZ9amCkPMgFgeC4cLH35ZUw6nV7rn+/+if6IlYLuaznIaLVJFYsGg+8+hX0WC6yNjbg1OYmb16/DLQgo3bcv4PkD7V/Y1t2Dw03/jFTXA2i5eAoDSa1YPdaK9MHH0NMzjNu3w7iRVBfw8DuzYSAAaK/O7gM4uhJId86GhY7C2Z+JE4gxnEfsihjc/mwr4tedR1xxBzy3PXjkvt/EjifXQqtN9gnnxPDO3ANUplbCmG1EjjYHxmyjT8WlMC5gZGIEMYiBNkUbUvWlXbBj/7/tR+uFVozdHAsrWFxMfgPCH/3oR0hJSYHH48EPfvADPPjggygoKMCBAwfwt3/7t0u5RiIiIiIiIiK6x6UbDEjS6dDb1IQknU4K0BYiTBPDO3dFBZJ0Oq/fKQPIrvrZ6rqHvv1tAMCmykqv4+XVg/Kpx8rzOFpa4LLZMOl0erUtL1S7tJwYXG3XGHFxsM6nYlF5v46WFthPncLtmzeDnttuH0XNz36Gj0bewRsTn+JqSxGuX3fj+vUp3L49g5nCdsys65it9nMUAjmb0e9YA4wPB194quuL0A+YDQczrgLObCAmZjYUzBhEwuBmTGlO4r4ELVY/fhW3113C7z2xE+tznpdCy7aLbTjcPIPM9EwAwLmRT/GNjd/wrmiUhXfxK+KhS539u+BwOWAdsPpUXO57xjc49TdkRQxRhXEBtiEbig3FKMwsDDlYXGx+A8KBgQG88cYbuHnzJs6cOYO//uu/Rnx8POrr65dyfUREFGF6vR5Op9PrNRERERHRUgt1YnCwc8jbfM+aZ4OcjMJCpOXkwO1yob+5GQBUA8j2Q4fQ3dCAzXv2+K2qk1cPKqcey/cy3F5bi0+OmdGmEZAh2GHQGRakXXrUbpfua1NlJdINBq+Jxmtqs72egVK6wYDttbVe53jjjS788K/+E1t33QAuF6DlxBji4oCBgUnMzABIBZBzPy45UoHx694ntBcCHnyxF+C50rk24VNA4iRwM/mLScKOQq8W4Zjcc7ODRgAkJa1AbNZ1JNxci+/t/l9wpX+CTnsntnyrAOevnsevPruBnc9Po/brtarVjNYBK1yTLqQmpuI/Pv0PjIyP4JLzEjJSMwDMDmax9Fik8K70/lKv4E7ehi3dmrJlWiVgFI8Xqw9L15Uif1U+qp+oRtn6srC/38XiNyAUN6H/+OOP8eCDDyI+Ph7AbOsxERHdO0ZGRgK+JiIiIiJaCoEmBodzjt6mJrgFAYPt7fj83XcRl5iIFQkJSF65EiuNRmycazEWyQM3t8ulet6BtjZ01tVhS3W1asuzPJDsbmiQ2nZtD+twvLkR0x9Z8Y2Xau+oXVoMP92CgO6G2SnA8kpLUbCKy7a2ARw+/AlmZgrw6adDSPgHCz79VAAKz6D/zFwl4NVS7w+JwV+ocs4BG08DieMAYoCxDsTFxyHzkWv4w4rv4PT5DhSmlqF0RwmOnf1H7CrZhXNXzwH4DZQXlKPu3Tq0fjTbonvJeQlPbXoKD6x5ALtKdvmEeMBskCeMC6goqkB5QTmu3biGj/o+wqPrH0XJ2hKfAS3KcFGc8ix/XwwDewZ60HK+BbVfr4X5tBmtF1pRmFmIHRt3+ASMAHBx6CLaL7XDmG1cHgFhSkoKzGYz3nnnHXz1q1+Fx+PB0aNHsWbNmqVcHxERERERERHdg5Tttsl6PaYmJpA8j44W5R6DbkHAtY4OxACIiY3FxOAgACC3vBzZZd6hTZ/Fgs7XXsP02Bg2792LR2pqfAK8zro62I4fBwA829AgBXB2wY6PCoGMVCBdZV3bNUbc+MiDlJEe9BX4r+oLhRh+5lVUYPOePQDUg8bZAPA0NBjBzNk2nEMBWq0exMXF4PbtGfU9AVNdQMLEbIWf2O4biLw1OOccsL4DySkr8MDow9Be+wTT2iJsqdiIS+5PcLrvNBKyY5AYH4eVqZPo8bwN10oH1m9dD+dtwDZkw8ETBxEbG4vd23bDOmD1adF1TbgwMjEyFyL6svRY0NzTjKqtVShbX4a6b9T53TNRJK8OlO89KK8ItA3Z4JnxoPVCq9RWHL8iHjs27kDl1kqvaxh0BhizjXj11KuYnJoM/gyXmN+A8MCBA3jjjTfw/9m7+7im73v//48kJCQQIAQQDEYFBJXYik7BTqm2Ftvt29q5reLW7kJP17Kz7Zzfd7Y9O9va7ee6nX77rfvtbN2Ku5Bu6+mk20qHWy+kq1KkKrSClVABuQwgSEgC5Dok+f0R8xEEay9sdd373ps3IJDP551A/3neXhcbN25ky5YtHD16lFdeeYVdu3Z9mOcTBEEQrrC4uDgmJiakr+Pj46/gaQRBEARBEIR/Fhe2256uqsL+1lucrqoid/Pm93atbdukLcRehwN7eztzV6+m6ec/J+B207h7Nzfs3g1Mbz+OTUoiHAig1ulmrb5bXlY27WPUiwcrqX+mguBWG1/5zH0sKS1FrddLwZ2v0cwcpxzdknxiV5t46hcPkXC0E7vTRudK/bQA61LzCaPXjDWtod48STgMd/+vl0lIUKFWK3jttUFCoRB+f+Tnr+cQq2hExmpCbMDvD1/8Dcxsh3ntkerBC7cETwkD5R4dSUkqJvPN+OYfY/Od8yhKuxsy2ylddzv252po22dl8babuHbHDqqbqxkeHyZRnYjT5yTfkE/Z+rJp8/7qOupo6mtCG6vFZDBh0BmwuWzA+Rl/j7302MXPDjMqBKMGHYNSsBetTOwc6ZS+v6d2D08ceoI12WvYlL9p2vNNBhMZiRmMOkcZ84xJ53G4HRxqO8QLJ1/AYrfQOdJJTloOJfkllNeW0zHcwbLMZZSunj678kq7aECo1+u5//77pa+vu+46rrvuug/lUIIgCMLVY2o4CDA+Pn6FTiIIgiAIgiD8M7mw3fZiIdw7kWoy0a3T4ejqkjYgq3U6Rs1mAOQqFV6Hg7PNzfTU1ABIbbpzCwtRajSkbdgwYyFJlKGoCK0hMttPazBIAV7eADhPBUj+UwPjhRapvXfcYpGWnZi+/GViV5t45PVyBmStfGpNPu2Z8McLKtamBqbJJZ+lsvIUDoeX/n4XL77Yxdmz5+YB8vzsb0K8A+a3S3P+onFgWOmBrIYZ8/+mGchDoZChtC0mqJSxalUGGk0MGo2CrFvaeaXHwqdWX0OyDsCPw22iqqmdoiIDpauXUtPaT1NfE/vtL3Lrjaul32lVUxVdI11sXLqRO9fcKQWiU1tvd92+i4f+8hCdI52YB80UZRehj9ezr3Ef+ni9FNp9asWncLgdPPbSYxTnFlPXUYfDHWkJ18Xppi0MiVYEqhQqDnccJjk+WapMjIZ5g45BRl2j9Nv7GXAM8M2Sb05bPmIeNGMeNOP2u0nVpkr3ah9u50DrAVQxKhLViXQMd9DY0whA2frI3+6WFVsuWcH4YbtoQCgIgiAIgiAIgiAIgnClJBqN05Z6GIqKZrT/vhPjFgsnyss529zMqNmMLjtbqgKcdLuxt7WRdfPNhGUy3ENDpJpMaA0GvLZIldq84mKsZjMLS0oYi4c/7PkuKYfa+fj/s3PaeaYGeNFz5xYV424yS1uDo497bTY6q6vR5eSwdtcu/tQbaVfNyc3nttt3MTg4wWvtLlJ91/DYYw0cO3aGYy9ZmOvU0VbTxRi/lO6bhINc2vGSxxgXCfhAavUFoL2QNynAQxwd89zS46qeItLSNCxerOff//1jtA90Y48/SbLrekpvfQCj8XyjdLQF12TYyIIOFYfaDtF4rJEkTRJbV22lMKuQ4txiKYyzu+y0DrYydu3/YmU8/OnwXtYtWkfHcAc3m26+6LGNeuO0xSNT5wmaDCYpPMxJy6GhuwGILCRp6G7A7o7MT0+OiywiiQaKJfkl2Fw2fnfkd3gCHnRhnTTn0OF2sKd2D02WJnyTPvLS81ift56G7gaaLc3S8hGTwYTJYMLtd9M+3M4zrz/DgGOAeFU86hg112Rew5aVWyjOLZYqIqPh597De2e0LF9pIiAUBEEQBEEQBEEQBOGqdDm2+vbU1ODo7GROQQHKuDian3gCTWoq84qLOVFeznhPD4GVK8ksLqZt3z6sZjOGoqJpW4qDuQb+1FqDzWWj/9d7mdc2Rrw6flpAuLCkBK/Nhtdm41hFOeb9z7HiC9tZu2uXNP+w/qGHcHR2krN5M7qcHFoONfNfeQ/QkrYUf9o8jnXP48///iwxMTLs9niepHbKK4nHQmQRSDQU7CCPXNopoBlUbl5fGHe+EnBK62+SC3J73HQE8hg7m8f8+VqCwXgsk3P52t3z6QgeJO/LydxbshWIVNilG2w8Nfhrmtuauef6ezAaNwHng0Gby8aB1gMsSV9C9YlqHC4HMTExFBgL0MXpaOhpmNYq3NTXxIBjgNz0XCk01Gl0nJ04S3ltORqVBpi+EASYVrUXbSeuqK9g+9rt06r+tqzYgsvnIi89j8KsQlw+F/GqeNqH27G5bLxw8gUCoQA2lw19vB4AjVKDUW8kITaBqqYqTAYTVU1V2N12gqEgCrmCL173RfTxep587clp241rWmsYGh8iIzGDrau20j7cTudIJxmJGRj1Rras3MJ9N0f+hi5cRnKxlucr6ZIBYWNj4/QnxMQwd+5cMjIyPrBDCcJsvvWtb3H06NErfYy3tWbNGh555JErfQxBEARBEARBEISPhFSTiYHMzMhykfdoYUkJY52d9B46xNnjxwn5fDQ8+ijX7NiBOiWFuIwMFm3Zgr29nfTCQob7O/nVnx/jlhtKSXJB8549HK9/icPXylmzuoScpStJM4RntDonGo2o9Xra9u1jOFdHczZMxnt4+f8e4+yBQ+idv8F/doCBQBov1jmATHJx0UEOY5Y4sKwEwE/gkq9JCgWBDiJLQzoy3ZDTjCYuBtpW4cluRrH0De66dyHf1C2hbV8Di8/NYIRI0BcJ39ooxMCB1gPoGjVSpVyBsYBmSzNOnxOAY13HKK8tJ1OXSUNPA5vyN7Ft9TaeOPQEFrsFpULJ5mWb2blpJ3UdddLMPqPeKFXsfbPkm1L776b8TTjcDg6fPkwgGGDD4g3TKgKjfvnqL7G5bFQ2VvL45x/H4XZgdVqpOl6Fb9LH0PgQX7ruS1idVhweB9lp2dLn8bHxdI92M+ocxea28clrPgnAvsZ9bMrfxB2r7sDhdkjhnslgYvva7TjcDsY8YwyPD1OcW4xBZwCmbzcuyS/hxZYXabY0U5hVyO6tu6lprSFVm0pVUxXFucWz/u6mLj+5WtqL4R0EhD/5yU+wWq2YTCZaW1tRKpX4/X7uuOMO7r777g/sYMePH6fy3EDQ73znOyQmzrbvRxAEQRAEQRAEQRCEjyqr2YxzYECq6nu3oos9bB0dDB87RjgYRBEXR+EDDzDY08Zwfzer/+N+PFYrvQcOoM3MpK2lgWYzKNL1rGqHlr17CY85KNaspCBHR59lnP4VGTztqKPUZiDJBU2Vf+GpBi11r55hhXY+rzTGc3YO8Dcfq1zPcD21BAlhYSEHuFlqBX79XEUgcL7iz54ByUMzZwJOqQgclpvoVaiYiF2KTp2KKm8uX7hjiKTUgnPz9u6gvHaUivrjZGYpiV1kordFR6+qC0/XMcyDZmwuGxX1kTmL29duZ1P+Jhq6GzjaeRSb20YoFGJBygJMBhN2t52vP/11OoY72GSKBIPRgCscDvODv/6ADYs38NUNX6W8tpymviaUCiXmATMjzhEARiZGyDfkA3Cg9QCb8jehi9OxY+0OaUZgZWMl9afryUvPw+ayUZxbTIGxgBfNL2IeNFNeW47JYEIhV/DmwJs4fU5kyKior+AP9/wBQJofmKnLZMuKLSTEJnCo/RAb8jZw/y2RXRvRFuHoUpLNyzdL7cfR0C7aBhydezi1sjG6lbgwq5BmSzOH2g4BkJeex6MvPkogGKCuo466jjoAaSHJ1MrL6FmvlrDwkgGhWq2murqa2NhY/H4/3/jGN/jZz37GXXfd9YEGhM888wy7du3izTff5Pnnn2fbtm0f2L2EfwyXuzJvw4YNABw6dOiyXlcQBEEQBEEQBEG4PC5cVPJOjFss0gZigM7qamRKJYrEBCbHx5h3+yfJ3byZ/dcsIjQ0whu/2sPdzx8EIhWLccdMxGdGwpukBWBpauWt2iaCi+7EGr+Ip0f+wtG2V3D01nL/vzWwqh0KaKaZAtoopG14CQBJjgRyaWeYDBpZjQw4QQFj8UBmw8wgMDoj0JWEPHGcUKwbfHEYNFmk5I6z8noljSNmtq8t5L6b75Mq+rasuIaqpipOjHSSE5NDQ08D+ng9MmQATHgmeOT1cuo1zSjbzTQ422m2NJObnsuWFVvQxemkYMvpc5KelI7D66DP1seEb4Jx7zh9tj4UcgWpCancteYu0hPT2fnMTvLS8yLPz8jj+rzr2X9iP/tP7CcwGcDld3G89zghQug0OkwGk1Slt231NmwuG398/Y8oFUoeuOUBalpr6BvtkyoWD7QeQB+vZ/fW3eTW5tIx3CEt+Xj+5POc7D9JMBQkNiaW7Wu3Y9QbpXl+Na01DDgGaB9uZ8I3gUapYWh8iMrGSkpXl7Jj3Q72Ht5LU18TTp+TvPQ8NhdENmNbbBb21O6h2dLM6oWrMRlM7D28d9ZgLzpfsP50Pd3WbpLjkmkZaGFZ5jIAKuorCAQDmAfNZOoyqWqqYsuKLVLAGm21his/i/CSAaHdbic2NhYAlUqF3W5HpVIRCoU+0IMFg0FiY2NJS0u76ttKBUEQBEEQBEEQBEG4/KJbf6eKVgUuLCmRtgVPdaqyktd//GOUWi3L77kHXU4OA/X1TAYn8cfIGIrxAPCxr9xL4//5vyz7bCl1j/43HUffxFT2b9SeLeTF33Xzb3f9Ea83BGQAn4CTNqCBJM0Kcu1jDKsTWGgZRQP0YiQON0k4ItWB8Q5ytS9RYBumWZ9OnfPcEo7Mdoh1Rz561ZA6SPoqC3cv+zabVq/gzao9zE1Mx7ZqAWPaSEiWqTtL50gnx4ZHGHAM0NDVwPaK7YxMjFDbVsu+xn3EKmJZl7uOsvVl0ty/R198FLffzfHe4wyODZKgTuC25bcx5hnj7PhZnD4nY+4xbi+4ne0V25nwTjAncQ7L5y2n39ZP3pw8MpIyON57nDH3GBmJGYw6R3nwuQdJ0aZwuOMwqhgVGxZvYFP+JlK1qezav4sx9xgx8kjcJJPJkIVlZCRmsHvrbsyDZkwGE3UddfSO9tI32ofVZeW7z32XjKQM5nhUrG6DrAWpjOlkpGpT2VO7h47hDu5acxd1HXU0dEdmGzp9TjKTMzHoDHRZu9havpWMxAzmp8ynOLdYCiE7RzpRKpQ0W5oxD5pxuB0MOAbYsmIL2lgt3dZuHn3xUVbMX4FRb4y0Mr/yON5JLw63AxkyqpqqKFxYiN1lp6mvSQoLo4tSMnWZUtBa1VQlBZkN3Q24/W5aB1tpGWghEAxEqibPhYFX0yzCSwaEGzdu5HOf+xzXXnstJ0+e5MYbb+Tpp58mNzf3Az2YRqPB7/czMjJCamrqB3ovQRAEQRAEQRAEQRCuThcGgm+3uGTcYqH7hRfwT0ygX7qUecWROXDxmZm01dQwcvIkfWYFGzfuI7blryydmKD5R5Vk+c8Si5cn7x7CwnzigVgK8J5rBY4uBRkmgzWeI6R6nIzJA2SHuwAF3eSiwYObuEjbcHYzHcbTMAAdcwLEa15Eq1WRMt9D1txMINJC2zLgJ3myB1f7/8EXWI/y7830+pzEhjfxO/Vx0rRp5M/N528n/saIawSFTMGhtkNMDltZO5jAmoCXxgWTTCT4CROWArjKxkpeOPkCY54xGrsbkcfIsbvtHOk8wohzhDhVHL6Aj5P9JyNLPNyRjc1Oj5Oa1homQ5PEKmNZlrkMt99NiBBjnjHGfeOcHDjJ4vTFxCpj8U/6MQ+a+fTKT/PU0acYHh8mPSmdxemL6bJ2oZApODtxlpvybwLgxZYX+Z+j/0PLYAuhcIgx1xiT4UncPjeb8jehOdhC7yk3irkWWpcqqGqqYv+J/TjcDtqG2pjwTnB24mxkEUiykX57P2/0vIG534zL74r8ruKSgEhb757aPWQkZnDXmrto6G6gfbidI51HqD9dz8FTB7mz6E7eOvMWHcMd7HxmJ7u37gYiLcihcAi7y85TR59CJpPRMthC65lW+mx9rM9bL81QfOb1ZygwFrB7626MeqNUibj38F4cHgeFCws51HaIfns/br9b2qgMTKt6vNIuGRB+7WtfY+PGjXR1dfHZz36W3NxcbDYbn/vc597zTU+cOMFjjz3G73//e0KhEN///vdpa2tDpVLx8MMPs2DBArZu3cpDDz1EIBBg165d7/legiAIgiAIgiAIgiD84zpVWUlLRQVem43C++4jZExlIGBHefRVHF1dqHU65hUX019XR9+hQ1jq65n0+WnuHOf/2/ADrpU10hxcTZw/jSLiOXO8mzdo4dqFneD1cjbFyUj/agwMoiRAEUcJoTgf9nF+KYhbrmCerBd3MIkJvR/ZhJ9wUIZbr+a0UkEoeT5f/oSWN9QDWBzQmSNDq1Lg9J3GHvBgH4T+2haSRyYZTgRfjAz3iIt62wj7ExsIhcIoZEqG//IHJvAjQ8ZR5VHcPjeEIRgO4pA5SHCESfaMkx4DzhgF5mvjaDvTxs/+/jO8AS9d1i78x/1gBb/Mj3ISYjxe6uMP4leCWqnGH/ITCoeQaWQoJhUoFArccjdBWRC5XE6/op/fvvpbZGoZqsUqYhQxhMNhwoQZHh9GE6MhGAoyMDrAvY/fS3x8PHKZnI25G5mXNg+NSoNl1ILb7+bpo0/zwskX6LX1EgqFUKvUpMWn4SBSoWdz2TAPmDl49jnmGiZwKU/DWBI6tY5wKEwwHKRvtI8YRQwuv4t+ez9On5PhiWEA3AE3ChQATHgn6BvtY+czO3nl1CvS31FhViEOjwO1So1MJmNobIjy2nLGPeMoFAqOdB7h07/4NCaDiazULLwBL722XkZdo8Qp48ifm4/TG2l/7hjuAGDQPii1Yn9575cZcY6wIW8Dd665E5vLxqb8yOZnuVzOhHcCm9vGA396gGWZy2ZsNr7SLhkQDg0N8Ytf/ILTp0+TlZXFf/7nfzJv3rz3fMNf/epXVFdXo9FE1le//PLL+P1+KisraW5u5pFHHuGJJ55g2bJlYhusIAiCIAiCIAiCIAgAeB0O3ty7l+qq/yF8tIlTh5sJhsGPGoKTKJhEySRB5LhVMloddiaSVYS946xz1nGYm+lhIQYG+DxPcWi0gFcz04rguQAAIABJREFUYugYvYExlCxgnEzZaZoVkwQmFYzJaolNrEMmD9DtctEXCuJXhFD4gwRkHjwO+FsIQqEwnG0AQClvwcpc+s/0o1Qo8Qf92D328y/CBv4jMC49EKaPMH0AY8Fzj01O+W4YN+5p70OAADbgeB6kJMFbmUEmfBNM+CbQx+mZ8E4QCAVgGCIXhgBgBRgJA+DBI11vjDEAggSZTVgXJpQXwu62Eyby/GmvaRx45vx1fveb34GcSOJ07p9NYcOmtEW+VoFH5cGR6CAUCiFXyZnUTvLX3r9i1YxhWSxHwyiBoSH6Rvvwh/yR2/jG0Sg1KGQKguEg6hg1cpmcUDiEAgVBgsiQESOPodPaybGuYzi9TmIUMbze8zoAm/I3kZeeh9fvpXWwFZffRawyluXzljPgGODkwElaBlpQKpS4/W5kMhnhcJixyTFq22uRy+Qo5ArUMWrazrYxOTlJOBwmVhFLY08jTp+T9qF2jnQdQS6TsyBlQWS+4fLNZKdm8/Sxp3H5XZTXlmPQGc5tkY5UO171S0q++93v8rnPfY7Vq1fT0NDAd77zHX7729++5xvOnz+fn/3sZzzwwAMAvPHGGxSfK/ktKCigpaXlPV9bEARBEARBEARBEISPBotlnF3frKL7+ZfwJwTR/rqSJcM2hhXxpITDTIaCOOUyvCEPIYK4AQ8wThhnQI7P34t7vIfnwkE+j5eNiv08HbONW/1nyGCAwkkfbs8Yw/OO4PT30+t00RvmfD4XhnOZF97ooSanHHDq5+cEfAH67JFUzhf0zfwB+WV4Y84xLwTmT720nGAwiFKhjASE4ct0I3kkqIwGc1Mp5UrkYTk+LnitIcB/7t8swoSlQBFg4tx/ybcks3HDRuYmzqXL2kWaNo2jXUcZdAxi0BmIbYul881OEnQJpKSnYHVYCcYECalDBBVBdMk6TPNMeLyRAFSr1rImew0AzZZmCrMKsTqtDI0PESKERqVhfd56CrMK+ePrfwQgGAqSl55H21Abg2ODhAmjlCsBmAxOEgqH8Af9ePweYohhaeZSHv7Uw/z+yO/Zf2I/4VCY9qF2EjQJdI500mxp5luf+BY/+NQPSFAncLTrKFtWbKGysZIf1/wYbawWfbz+ircaXzIg9Pl8bNy4EYCbbrqJJ5988n3d8Oabb6a/v1/62ul0otVqpa8VCgWTk5PExFzyaIIgCIIgCIIgCIIgfER95jNP0Nb4EzQyK27fJIEQvASEgrbzPxQKw4zKtzBEg6xzIZkTyAh6KVr4JGdloBuADNkQCWdAFdPG8wqwcxnMXoR33mUMCKcGgDJkyOVynH4nCrniMt4EFDEK9HF69PF6woQZ944TDoXx+D3M1c3F4/fQS+9luVdIGUKGjPtvuR+j3shjLz1GfWc9Ny+7md1bd3P9J67H2e7EiZMznJnxfDt2DnMYZBCbEEtqWiruLDcTsglsLht1tjo2rdrEKvUqRlNHKTAWcO/6e4HI3EGTwSQteWnqa+K7z32XhNgERl2jnD57GrVSzYbFG/D4PRzrOYY6Rs0Xr/simws2U9VUhUwmY5JJQoTwBrzIZDKSNEmYDCaMeiMLUhbwyqlXaB9ux+F2SGHkP8SSkmAwSFtbG4sXL6atre2yH0Cr1eJyuaSvQ6GQCAcFQRAEQRAEQRAE4Z/c8eOnCTLE+GwZ4LvkJxKALO+OfK0MQUAW+VzjBdX7u/x5gUt8/3Jmd+Gpn4aZDEVKGoPB4Izvvx8heYgETQKJmkS0sVpUThUfm/8xRpwjkbZau/Py3AiQxcpotjRT01ojVdQpFUpy03Opaa0hSZb0zi4UBt+4j4HxAQY6B6SHq1+rpppqUg2pzPmXOWxYvEFq7d2xbgfHuo5R11FHTnIOB54/gGZcw8bVG3l9+HWGx4cx6o08eOuD09qDi3OL2Xt4L1tWbKFloIWhsSGWG5dTYCygfbidofEhzIPmGTMHdXE6UrWp085wJV0yiXvwwQf59re/zcjICHPmzOHhhx++rAdYuXIlBw8e5JOf/CTNzc3k5eVd1usLgiAIgiAIgiAIgnB1sVqtPProoxw+fBiPx8Pw8DDhcJiUlBRsNhvhcBgFw+83F5T4iHS9xoQiRXwhYEID6knIcIBK/f6uL5dBWAlhFSQ5IXcAOjJhTHvBD8YCuUQOobjgoxxkChkyhQytWosv6Iu0KcuY/o9zH1MhVh6LWqlmzDfGDMvP3QuQhSOz9IDzwWE40pY8TzePcdc4Xp+XUDCE3++HIChQIA/LUSQo0Gl0pCWk0djTiMPtYHh8WJp3qIpRQQKRluvov/cYTn5p/ZfQZmqxuWxYbBaKc4tp6G7ghOUEdR112G2Xpc6ThOSEWR8vry2nurkam8VG9feqAWigAeSgTFTSrm3njr/dwfqV65ElyMjOzuZfD/wr8kQ5X934VZ7912epbKzE4XYQJkxeeh6FWYWU5JdgsVkA2L52O6WrS4FI1eLVUD0I7yAgXLp0KX/+85+lr19//fXLeoCSkhLq6+vZtm0b4XCYH/3oR5f1+oIgCIIgCIIgCIIgfHCsVisVFRVs3ryZ3/zmNxw8eJChoSGSkpKksG9q8JeSkoLFYmF8fHzGtYaGhj6QM3qBgDxSOQiRPG40VUYoFGaeNTLKL14NMWoFk8owSZMwERdidFECi2NS0b3RTecCBdnxGWhUSmQfz8d69CimN2wk+UGlS+LAEh+vLQqQ3w5rBjQka2JQrvk4FruFQfsgbr8buU7O5MZJEmITSNIk0W/vxxf0IUPGddnXsWXlFopzizEPmjEZTFSfqOa39b/lrPMs+jg9AMMTw8TIY5gMTeIL+Qj6zy/nUMWoSIhNwOq0EpwblObnyeVyfJOR+wDSspEQIcbUYyjkCrYt34bT5+RPx/8ERJaWhAgRIMCJ/hM4fU4SYhNIiE0gPTGdE/0n8AV8xBvjybw3kzNjZ1AqlNx6za0sSl3Ea6de42jHUQK+AKqwisSYREL+EEFfkEnvJAXpBWjQMDY2RtgfJlWVyn2fuo8DPQfY17gPfXzk9TZbmhnzjLE+bz1dnq7L8veQNT+LOzfdOSOcK1tfBsC1oWuppvr8N0IQcATAAZZ+C0+9/tT0C8rgu7/8Lk/mPEkwPki7ux2f2ocyWcn/Lv3fUrt0RX2FNH+wb7SPofEhqf34SnvXvbyPPPIIf/rTn97XTefNm8czzzwDRFY979q1631dTxAEQRAEQRAEQRCEy6+trY177rmH8fHxWav8poZ9P/zhDxkbO1/JNnX/wNTg78IQcO7cuQAzro19hCHfzBrCGEANxCpAG4L4MGiAuHOPx0c/V8iJiZGh9QVJAlQhCCpAHoRJBSz59GfB6YaXGvnGbZ9gqPs0SnMfvrMjBCcn8QWVBE3Xk2+LYzBo5ZMOPUtvvYtFt91Gx7E6Gjfn4Mk0ownA8qVrUGfLGHrrGbIX5nG7dgPf31JKotGIxWahprUGk8FEXUcdDd0NnO1sJ79fSUMynPD1snTuUvbdu08Kioqyi7DYLOSk5XBT/k082/QsJoMJtUrNK6deISU+hVAoxJhnjGA4SHxMPCaDiRuW3EBhViFPHX2KOFUcVqcVgMaeRs5OnEWlUKFQKAhMBiKLTIAJ7wQymYyOsx384Z4/YHPZOHz6MMFQkHA4TIwshpT4FKxOKxPeCVK0KWQmRwJBVYyKTF0m+ng9dafr8Af8LJm7hOy0bH792q8JqAPExMWQlpBGakIqDreDfns/MfIYYhfFMjg+SFZqFt3Wbj624mPsM++jd7QXlUJF50gnRVlFqJVqbC4beel5fO2przE8PMzo6ChWq5VXT76KuctMkjwJ17gL97gbv9PPxMTE2/9ha5BamI91HaO8tpyy9WUUZRdRlF3EL3/5y0v9rzFdGM4MnuHM4My5iAMrB6Z93T7cTrOlGYvNgkwmIz42fkb78ZXwrgNCqSRVEN6BDRs2XOkjXNLVfsZDhw5d6SMIgiAIgiAIgvARZLVa+f73v8/+/ftJTk5GJpPNCAHtdjter3fa8y4W9k0NBxMTEzEajRetIBwbGyMjI4MbbriBBx54gNTU1Bnna3jsMSp+9CNiQyFiQgF0sRoK7tiKwuNheVkZVrMZ85NPItMlMtDWQvi0BWQylHFxBDwemJyEkAxkMmISE5iUh1G4fBD0owpCZpebVf9yDw1vOZiry8Q/YkY+z8hEKExscjLOgvkcSBkn/doCNI3Hmejv5/hPf0rPSy8x6h+jMy3AElUmd3xvN4aiIpbYLOgXZlOSXzKtIsyoN0phVDT4+/HOz6E8ZmZzyVquWVNM2fqyGVVklY2VVNRXkJWahTZWi8VuYeuqrcxJmMOWFVuwOq2Ew2H+64X/wu1zc3rkNMnxyYQJU5hVSHFuMXUddbQMtOAL+FDJVCzOWMz1edfzavur9NsjAe7nCz/P0e6jrJy/kkHHYCQA1GUy5hnD7rYTExPDZ1d9lm5rN3aXneT4ZG423QzAqHOUE/0n8Aa8+IN+gqEg+xr2sWTuEhanL6ZtuI00bRreSS956XlkJGbw5GtPRtqSAbvbToY/g0AwQPWJaobHhwmGgrj9bv7+1t9ZOX8lw+PDABzpPEKzpTmyWKQ0slhE06jhZiJnqT5RTUZiBoVZhdy+7HZGRkZ4/tjzhN1hDjYfZJl+Gd4xL+ZOMx8v+jh7D++lJL9Eaiue+vvZ/9r+d/z/0aV88eYvAlC6ulRahLL7wG48fg/J8clk6jKx2CxXvIrwXQeEMpns0j8kCIIgCIIgCIIgCMIVMXW+3+TkJIFAYNbqP5lMxpkzkYqnvr6+adeYGvzFxMQwOTmJVqtFq9XOGvalpKSgUqlQKpWsXbv2oqHfu7GktJTtwHhvL47ubuYUFGBvb6fn738HYO25bsRjSTYOnRhn/W/cyIZtqBITkatUqLRa3CMjBD0etHMNxKelMXZmEGdXNygUpM3P4nRVFbaWFs42NxF0e1BnzGH+uutZetddDPa0o4p1sMSnw/DjH3PkBz9grLsb7+goGdfkE2prITRwgoM7d3LbH/6A0Xg+CHw7Rr2Rsm/u5u8Z5Wz8fBmLr3n76rECYwEbFm8AkNqPV8xfgVFvZO/hvRh0Bjx+D322Php7GjnedxxtrJbnmp5j0DHI0PgQk6FJdPE6fvCpH2B1WjnRf4LFGYspzCqkdHUpNa017Gvcx+4Du2m2NLNq4Spy5+Ty84M/Z9GcRQB0W7sxGUw4PA4Onz6MedCM1WnFP+kHGcTIY5AjZ3BskB5rD1q1li9c9wUAnnn9Gdx+N3euuZP5KfMBcLgdWOwWNCoNBcYCGnsaCYaCqJVqJjwT+EN+Okc6AUjVptLY04gn4OHV9ldpH26nMKuQ6hPV5KTlsG7ROgYdg5wePs3h04eByHy/BncDKoWKnrQeblx7Iw9viezV2Ht4L/sa9wHn24qjH2taa+jydbGscBlhV5jevl6cE+9tEUtMTAyFywql33v072P31t3UtNZgc9k40HqA7LTsd/S380G6aEBYWlo6IwwMh8N0dV2efm/hn8vvbhy90kf4h/PFV1Ku9BEEQRAEQRAEQbiKWK1WHn/8cSwWCy+//DIJCQmzVuhNDf4uNNuMP4VCQTAYnLXVV6lUsmfPHk6ePMn27dvfd+j3biQajRTedx9v7t2Lva0NtU5HXEYGidnZZK5bR09NDQtLSkiOB0W6nvzFYTqfqCB50SKGGhtJMZmwvPIKIZ+PBIOBpXfeyZFAF2d+8SsMo6BKimzEjdFq8TlsBBTA+Dhnm5sJA6NmM6lZWXR2d6PZvp1PPfsspyorGXPbOXX6BLETfsIqFT67nfqHHmLtrl0kGt9ZFdjia4pY/F/Tg0GLzSJtxi1dXSpVnE2tSJwabO1Yt4OS/BJsLhsOt0O6TpgwHcMd9I72kqJNIRAKoJApSE9Mx+q0YjKYyEnLQRurpaK+QpqFtyR9CZ3WSCBXmFWIedBMIBRgcGxQquLLS48slj3SeQSdRkdGYgb5hnwSNYnSfMMjnUc41HaIMe8Y+0/s5641dwFwtOso337224QJI0OGyWCiwFjA0PgQBcYCRp2jtA23kahOZHH6Ysa942SlZHG48zAGnQHfpI9AMIA34KXZ0kxhViE5aTl0jnTSMdzByMQIMfIYEjWJANJ785u63zAyMUL1iWruXX8vRr1Rmj1oMpgwD5rZdfsu6f01GUzs/NpO6X3fXrGdytcqSRqRMX9QRWzWIlbOX0vd8Tre6ngLpUvJuG3mPE2ABQsWoFDMXF0dDQstNstVs6jkogHhj3/84w/zHIIgCIIgCIIgCILwTym65KO4uJj/+I//wOPxEAgEsFqt0xZ9vNvgL+piM/7S09PR6XQ88sgj1NXVvW0AeMstt7z/F/oeLSyJhCdemw3LuerBgcOHcQ5EZrtdu2NHpPpqHay5818Yt1joqakh1WQiOS8Pe3s7q3fuxFBURLLNgjxVR94AqP1wuqqKUCCAPARKmRxFjJI5BQVoMjLor60lFAoR9PnoOzf6aUlpKX/qreHNxj+yeMwG3gC+OAXyU62cqqxErdezsKTkHQeFU9W01lBRXwFEqt92rNshVZVNnWO4bfU2KVAy6o3o4/UcaD3AttXbZv356MIT86CZkvwSalprGHAMoNPoADjSdYTTZ0+Tok0hJT6FtYvWUrq6lKa+JloGWrgu+zpuyr+JqqYqblt+G+W15RztPopCpkCr1vKJaz7BfTffJ90XoGe0hwH7AMFwEF2cjvV566ltr+VY9zHcfjcALYMt3H/z/ejj9XSOdPJG7xv4Jn3MTZrLmpw1JMcl0zvaSzAUWcJyZ9GdjHnG6LZ2U2AsoDi3GACDzkD7UDtvnXkLfbyeFfNX4HA7qGysxO62MzwRqZ7ttfby1ae+yobFG8hLz+PFlhd59vizjHsj4Z7NZaOivoLta7dLrwcilYUjEyN4/B40Kg3j3nGu/fi1zLtpnrR0ZF7iPJpam/jjoT8S44phZfJK4v3xxCfFS6Fj9P2/WPv5lXbRgDAzM/PDPIcgCIIgCIIgCIIgfKTNNvPParUSDAY5c+aMVMk31dRFH1Op1WpycnJmrSBMT08nPj6eFStWkJqayte//vVLVv6tWbPmsr3Oyy3RaOTaHTsYt1ikx+YVF2M1m6Xw8GI/r8vOpuDee6XAzqg38pXPRMKf6PV8djun//pX7G1txOmSWbVzJ53V1QQ9HlxnzqDW6bCZzdhaW+l47jlWfu8Bgl++h7GGHxJy+bD5x4jbkA9A2759eG026SxLSkvfcVgYrXiLfh41brHwl0d20tzXTPDL91BaWMqJ3eU0dXSwaudO6WenPufCuYfRjxabBZvLxqb8TVK7cqo2lUdffBSnz0m+IZ9dt+/CqDdS01pDcnwyBfMLaB9up6G7AYPOQKYukxsW34DH78FiP/87gcjcxF/V/YpgKMhN+TexYfEGSleXSmHegH2Apv4mCMPqhatJjkvmv1/+b8bcYwRDQXQaHYnqRJ4+9jS+SR9LM5bi8rl4res1zINmJkOTJKoTSUtIo66jjgOtB8jUZVLfWY8n4CE9MZ3CrEIpaDUZTCgVStQqNcFwkFdOvUJtey1JmiSsTisqhYrr866fUYUZDVhL8ksoyi7i0ys/zb7GfWxYvEGaI1jXUcf2tdsBePbNZ9FpdKQuSaXAWMDurbulFvB9jfvQaXQ0W5p5seVF6XtXm3c9g1AQBEEQBEEQBEEQhJna2tr4+te/zvz583nrrbfweDwMDw8TDAaRy+VvO/MPkMLBxMRExsfHZyz6SE9PR6VSERcXx549e1i8ePGH+vqutGjLcZShaPbZfdEKQq/NRu+BA0CkyvDtrpezeTMHd+4kFAhgNZvxTkwQ8PkAmNRoSJw3D7/TydnXXyf47R9Q+uyztP44mcP/7/dIXbqQjZ8vY67OgFqvx2uz8eYvf0nAGZlbN/XMb8eoN06rXIvqqalB+fdm8n1O8gYiX7dUVOAbG0MZH88nKiooyS+R2pOjwd+F1WoQqVKMVhtGN/YCrJi/QgrEos+ZGjxGr90x3IHD45CqGPfU7qGhu4FjXcembeJVyBVsWLxBej01rTU4PA62rNzClpVbpHPe+es76RzpRIYMhVxBTEwMLYMtJMcl4/a78Qa8BCYD+EN+vAEvCbEJpGhTaB1sxeVzUbgwMt/vMys/w/D4MDs37cSgM0jniLZEx6niON53nNNnT+PyuQiGgiTGJuKZ9GB32amor+BTKz4lBX7lteU81/QcnSOdJMclY3fb2ZS/idLVpVLwF30fS/JLpNAw+r7D+Xblbau30TXSRW17LbXttVQ2VkpzHy9WWXglvKOA0OPxoNFoOHv2LHPmzPmgzyQIgiAIgiAIgiAIV61oJeBzzz1HMBh8242/s1Gr1eh0OoaGhkhMTCQrKwuZTIbdbufWW2/lG9/4BtXV1R/6zL+Pip6aGtr27WPBpk0s3rZNqjIcPHaME+XlLC8rmxYujlssWM1mbti9W6pK7Hj2WcLBIAqVioR584jRaIibM4eJ/n5sb71F8549FNx7L/a1h3F0duJrNJO4o0iqXBxqaOBsc/Mlz3rh3MHZQqKFJSU4urqwt7eTW1SM1mBgrLMTe0cHy8vOL9aIVs2ZB80MOCLt19GW4mgANVu1Icze6jr1sakbeKMty5WNlbxkfonTZ08THxsvBXNfKf4KujgdpatLpWtNve/UeYraWC2ZSZmolWp8kz6S45PxBrwsmrOI9uF2JnwTaFQaCIAx2ci63HX0t7VA01s0L+yhe343GpWGzcs3s2L+Cgw6w7Sgde/hvTg8DuJj49HF6bgu+zrahtsIhULIZXKcfidOn5NAMEDHcAd56Xn8z7H/IRAMoFQo6RjuwDxoBmD72u3Se2kymMjUZWIymGat1oxWDkYDxMrGSpYZltEy2ILD7ZCWwmTqMqXf1ZVuNb5kQPj444/jdDr51re+xcMPP8yyZcu45557PoyzCYIgCIIgCIIgCMKHqq2tjXvuuUeaA3ip7b8wff6fXC4nFAoB52f/RSsIozP/9uzZQ0pKChUVFRcNAe+///4P+JX+44tWCl4480+Tmorf7SY5L4/czZulx0+Ul9NZXQ1Mrz6MBoreTZsAOFVZSWJ2NmqdDm1mJtc9+CAeq5VUkwnX17/OaEsL9vZ2TlVWMlBfz5yCgmmtzolGIxt275bO9nZmmzt4oUSjEV12NsMNDVjNZgxFRRT/8IfTfmZqe/LUCsJoEAWRAOq9zry7MATbe3gvFfUVuP1uTAYTZevLqGyslCrx9PH6iz4/ymQwsWL+CsrWl2HQGaZV1E1te85Nz2XMM8bWVVupPlFN7JGTFHSC0+tkUBfLmuw1NHQ30D7czhOHnmBN9hqSNEnSvMLChYUUZhVS1VRFpi6TQChAKBTC6XOyMHUhD9zyAFVNVbQOttJt7WbUOYp/0s88/TzuWnMX7cPt0pmj7yXAgGOAuo466jrqsLvtJMclSyHv1CUoD/3lITpHOslIzCBVm4ouTjdjScpVvaQk6pVXXuHZZ58F4Kc//Snbtm0TAaHwromNvILw4frWt77F0aNHP7Drb9iw4X1fY82aNTzyyCPv/zCCIAiCIAjvUltbG9u3b8disUxbApKSkkJnZ+esVYCzLQGJjY0lOTl52sbfRx99lF//+tesWLGCBx544G0rAEUI+P5Egz2Y3kJ8uqoK+1tvcbqqivQVK6SgLlptF/0IkZDRa7Ox4Fw4GG0NXrZ9Ozm33YajsxN7eztqvR6twcBNjz8uVSF2VlcTcDpJzs2NPHfvXimsjM5BjN4jujQlWqEYDTQvNnfwQrGrTYx0ZHLtatOs37+wPTlayXaxisH3YuriE5vLxpYVW6RKQaPeSF1HHQAnLCd4ruk5bC7brC3TUdFKR/OgmaLsohkBpFwulwLEuo46GrobsNgshDMh3gfaSTnLVPNQ2dy4j53AljxOv3KCt868RaImEbffTWAyQFpCmjRD8cYlN5KTlsOWFVuwOq1SReOK+St46C8P0TrYyvV519Nn62PCO0H7cLv0Go51HeOFky/wk5d/whfWfAGdRscLJ1+gZbAFgFRtqhTyRgPRvYf30jnSSU5aDmXry6a1E19YdXilXTIglMlk+P1+VCoVgUCAcDj8YZxLEARBEARBEARBEN6TaADY09MzrfovWsnndrsZH49sLp26BOTCEPBS238vNgewtLR0xmPC5RetzltYUjKtmjAaAGauW8dzn/40zoEBmp94gpsef5xPVFRMu0ZPTQ29Bw5IrcjR1uCwTEaKyUSKKRLITQ0io9WHp/fvJwyEZTJOVVbSUlGB12abMXMwGmQOZGbiHBjAa7NJ246NxtnnDkZFX9exJBvPzRlAPWZmMe88ULqcW3IvbIudujUZzrchd4500m3tnvUax7qOUV5bTtn6srcNLy9sSTYPmhkaH2LtorWwCPTBTvSNvfh7A4x521nUOoFtQYCBbBnGZCOf+dhn6Lf3Yx40s2XFFqkKsNvaTbe1m0xdJro4nTQP0Kg3suv2XVILcWVjJb84+AsqGyspzi2mKLsI86CZN3rfYMI3wZ5X9yCXyRkaGyJGEUN6QjoZiRl0jXRJm5yjYeqXP/5l6XVcLWHgbC4ZEG7bto3bbruNvLw8urq6uPvuuz+McwkfMb+7cfRKH+Efjqi6FN6Py1mZN1u14KFDhy7b9QVBEARBEN6riwWBF84CnK36D5ixBCQlJQWn08nGjRsxGo3vaPuvcOVMrdJ7c+/eGSHeC9u3M/Lmm4T9frw2GyfKy2csNkk1mRjIzCTVZJrWGuzo6qKlooJl27ezpLQUtV5Pqsk0rUpQrdOhTk5GrdNJ1/M6HNN+Bs4HmakmE6f37+dUZSVyuVw669uJhot5t26S5tl9GKZu8b1wacml2mI3L99MTlrOrN8vry2nurkal8/uOY5iAAAgAElEQVTFLctuwWQwzbgPzAw2TQbTtMq/RStTefPpp8hITGc0K4mMj4VRpYwzJxhZVBKtQuyydlHVVEXZ+kho/MLJF7A6rTRbmmkfbsfpiyySue/m+2bMXHyu6TlaBloory2nKLuIkvwSvnjdFznSdYSy9WW8ZH6JxmAjqdpUrE4rb/S+gcVuQRenwzxopnWwlXxDPmXry2Z9jVebSwaEd9xxBxs3bsRisWA0GtHr9Zd6iiAIgvARcsMNN3Dw4EHp65JLzFERBEEQBEG4XKxWK48++igHDx5kYGBgRiXf1EpAmB4EqtVqkpOTZ60gnDdvHjfccMMlW4CFq8PFZg1ONbWaMGp5WRk9NTW4zpwhRq0mc926GeGd1WzG0dnJifJy6euFJSWcqqyUrhMNIi8MIaPBYfSe0Q3G5iefZKCujuVlZdL1okHgifJyxjo60C9bdsn5hBe+rvUXee1Rs4V679WFswth5hzCiz3nwsrCqaJBXaYukydfezKyLORcWPp2lY7RduSqpiqpevH6Vbdw4vdPEpTlkPGVMnQddRSyQFqWUpJfQl1HHZ0jndR11GEeNNM+3I4v4CMrNQuAxp5GHG6HdJ+p7+EDtzzAoy8+ypYVW6TX/9PP/1T6mZ2bdmIeNBMOh/le9fcIh8PkpefhcDuoP12PRqmh/nQ9Lp8Lh8chnSl6/UHHoFRNeTVUFl40IPzFL37Bv/7rv/LNb34TmUw27Xu7d+/+wA8mCIIgXB2+973vTQsIv/Od71zB0wiCIAiC8FFitVp5/PHHsVqtHDt2bEYI6HQ6mZiYmPac2aoBtVotWq122izAyspK1qxZ82G9FOEDdLFZg1NNrSaMMhQVsexLX6Lp5z8nVq9n4PBhnAMD066zsKSEgbo6KSSMfv/C8C/6s9GPs4WW0Q3Go1NCx+j1FpaU0FNTw6ItkbBpeVnZRcPOqHcSjE41W6j3Xl3Y/ju1NfhiYdbU51wsrCzKLqIouwiLzcKAY4DWwVYW6BZgc9k41nVs2oy+2a49tXoxaQEc7qjjBWUnjbXl1J+uZ8wzRkN3A7u37p7WNmxz2WgdbCUQCuANePnjG3/kFtMt0tKQ6HltLhsHWg9I942LjcPqtE47y4VB6PaK7dhcNmLkMcSp4gBQKpTM08+jx9pDbnouOWk50xaWAPz5+J95ufVlzk6c5W//9rf3/Lu6XC4aEN54440AfPKTnyQxMfFDO5AgCIJw9RLVg4IgCIIgvFdT24GjlXwXbgOOujAETEhIQKvVzqggFJWA/xxmqw58p5aXlRGbnAzAvOJi+uvq8NpsjFss0jKRtbt2TVsikmoyzQjmLgzrLqwmjEo0GlleVsaJ8nIWbdmCx2qVwsG2fftYvG2bNAdx3GKRKhWXlJbOCAHfSTA61eVcSHJhi2+0NRguvlRj6nP2Ht77tmHlheHdgdYDUpVg9DXMFjAadIbz99fDbffvQn1u1p/L56K2vZZmS7P03OhHgIbuBsyDZnxBH8PjwxzvO47JYKJ3tJedz+xkaHyIzcs3s231NkwGE3UddWzK3zQtJN19YDcZiRkULizE5rJhsVkoW1+Gy+fC7XczND5EbnouhVmFMxahTF1YUpJfwrPHn41sRWd6Ud6VctGAcMmSJQD85je/4Q9/+MOHdiDho0nM0xOEjwZRPSgIgiAIwmysVisVFRUUFxfz4IMPMmfOHGprawkGgxedC3ihi4WAWVlZVFRUzLoMRPjnMFt14DsRDeC8DgdqnQ6twYBar6dt3z6pOjAa+kWvrzUYqH/oIRydkSqv6OM9NTVS6/DaXbtmhJZTA0Sr2YxzYACP1TqtUnHqx+g1WyoqCAUCjJrN01qSE43Gtw1GZ6suvNRCkvfTghxtDY5+vJR3ElZGz2uxWdDH66dVB9a01vDka09S11EnBYmzBY5TX/PurbupbIwErhdW6+1Yt4PCrEIaexpJDaUyGZrkY/M/RkNPA7XttQCsXrhaOnNNaw3VJ6rJSMwAoDi3mJ3P7OR433F0cTpuNt1MQ08DAPp4Pbu3Rjpto4FnY08jVqd12lkvXLzy4K0PEqeKIy89D4vNcsXnE15yBmFSUhK//e1vycrKkvrC161b94EfTBAEQRAEQRAEQbi6XKwlOFoJGBMTw+Tk5LTnzDYXMFpBmJ6ejkqlIi4u7qIbgQXhvYoGcF67PbJMZErL8NSqPpgeBDo6O9Hl5MxoL462IvfU1HDtjh3TQsvotbw2GwAZq1dPq1SMcg4OSsHewpISvDZbZHNyUxN/u/NONCkp0nneLhh9t9WFcL411uayoY/Xv6ugMNoa/E690+3JF4aW0XtMnR84tQrQZDCx9/DeWc9u1J/fCB2t1stIzJAq/YpzizEPmjHoDDT2NGLKNGHKNHGw7SAdwx3EqeI40HpAem/qOuqoP12PedCMedBMIBhg0ZxFzNfPZ92idRw+fRi72071iWopyNyxbofUKm0ymGa8xqnvSVF2Ebcsu4V9jfvITsu+bNum36tLBoTJycmcOnWKU6dOSY+JgFB4p67mTafRzaxX8xkFQRAEQRAE4Upoa2vjnnvuYXx8nOHh4Uu2BEdNDQcTEhKIj48XcwGFKyYawEUrCKPVdtFZgV6bjQWbNl10zuDUYG9qK/JsVYOpJhM9Oh2WgwfxT0ygy8lhqLHx/2fv7qOiuu/8gb9BeZTHcQw6MIpi1DjWhxDBaGiwcUjitjZ2a6HtL4m6PZae5re7jW5Oepq4HjZNbX6a7dlkE2JOgSS7DWPXmmjSNYxpTNAomDRgGALGEXQAn4ZhGEGG598fem/vXOYRZpgB369z9sDcmXvvd8Zwds67n8/3g2iFAku3bkWDToe60lJM12jQZ705sGLp1q3I2rEDNpMJh3/4Q3Q2NSF25kyvKgZH03YthGyWbovf9ip0xpdKRXeVgULloHCdrfdtRcnxEofKQlfXl75XIfQDgFZrKzQqDfIW5wG4Oa04f2U+9LfalKV7IBZ9twi60zpYb1gxjGEx8Kuor8Dxc8fRam1FalIqhoaGUN9WL661+ONih8Eo0n0NhfcofEYalWZcp1O74zEgvPvuu7Fp0ybx8ZtvvhnQBRER+ZMQBAOhHQZL1xnKQn2dofxvPBFMlL8XIiIaO2kl4F//+lf09PTgypUrYnuv0Wh02w4MOLYEp6SkICwsDB0dHXjggQegVqvxxBNPcF9ACqoEtRpZO3Y4fa5Zr4fx0CHEzrzZQirsAeiuak8aLp4pKYHdYsGFipvBj91iQcvx45gaFQV1bq5Du7BU8oIFSJo3DzFKJf53yxYsKyyEKjsba/fuRW1xscvhJfKKwdG0XctbegMVSvkyLMVdK7KzKkRpZaHutM5lJaS79yq0EJefLodimgJb79vqMJ3ZZDFhzwd7ANwMEHWndSg9UYpHVjyC5Nhk5C3OE6sRLd0WhIeHY3HKYvG6wj6DAFB+uhxZ6VlITUqFMk4pVj96M/F5vLkMCN977z385S9/QVVVFU6dOgUAGBoawtmzZ/HYY4+N2wIni6efflr8HEPVqlWrsHv37mAvg4iIiIiI/EheDTg8PAzA+TRg+fFZs2YBAFuCadIRWoZbTpzA1ZoatBsMWFNU5NW0YCGsm5OXh4UFBUjXatGg0yEiLg53LF8uXkeVnS2GiWk5OQ73/mj7djS9/z76urvx3f37ocrOhirbdQvvWAa1yAVyr0JgZOjn7nru1uLsPPlwEyGI1C7WivsP5q/Mh1qhdnq+cC93waS+Xo/SEzcHyQiVh/2D/Xiv9j309Pdg2ze3OUxjloaU0lZoYcgJAFQ3V+PgFwcdhrC4un+wuAwIc3JyMGPGDFitVuTn5wMAwsPDofbij2WshoaGsGvXLjQ2NiIyMhLPPfcc5syZE/D7SoV6lUwgnDp1yu/v258VKIEKWf35nhmyhhb5v21ubm7IV0W9+a32YC9hQuIgpLGbiH8vRET0N2azGS+88AI++ugjtLa2ioGet9WAQhAoVBB2dXXh29/+Nnbt2sUqQJqUhJbhBp0Ol6qrHfYW9MRZG/Ki/Hxxj0Pp5GNh4Ilm82aHASnJCxag9fhxJC9Y4PV6RzOoZTR8qQB0Rh76jXbvQ+k65FON5dWB+no99n2yD509nahuqsbeH+x1+z7cBZPaxVpYui3i723WNrzzxTu40H4Bg8ODABxbvp0NTSk5XoJDtYeQMSMDhfcXjhjC4u0ejePJZUCYmJiI7OxsZGdn4+TJkzCZTFi6dCmSkpICvqijR4+ir68POp0ONTU12L17N1599dWA35eIRmciVMgKQjH8l+7Dw6BrcptIfytAaP69CPi3QkS3G7PZjF27duHPf/4z7r33Xpw9e1YcEDJ9+nSYTCbYbLYR5zmrBhRagiMjIxEREYE1a9bgqaeeYhBItx2hBVka9nh7nnQCsrPW5LaqKny0fTsGurtxx/LlTvc5TJo3z+eKQGfTi/3NlwpAX67n696H0nXIpxqrFWqHkE27WIsjdUfw8dmPUWOqEasJ8xbn+VSlJ7xXoQoRuBlUhoeHY5l6GWIjY5FzZ45YRdp01Yh3UtpQeH+hwxAXaSu0oc3g0MIsv9doP1d/C/f0ghdffBEHDx6ETqfDV199hV/+8pcBX9Tnn3+OnFvlt8uXL0ddXZ3Hc9ra2hAWFib+3+eff47PP//c4diuXbsAACqVSjyWmZkJANi2bZvDawcHBwP2/m4XnZ2d4uepUqkAALt27Rr1v9Pu3buxYMECfPzxx+L//eEPf8D27dsdjv3oRz/CsWPHHI7Fx8fj2LFjiI+Pdzh+7Ngx/OhHP3I4tn37dvzhD39wOLZgwQIcO3YM169fF4+dPXsWx44dQ25urnjst7/97Zj/22tra8Phw4cdju3btw8AHI595zvfAQB85zvfcTgOAPv27XM4dvjw4RF/I9u2bQMAZGZmjvnf6f333w/4f0+T2fvvv4/2dlYO+kOo/z3xb4VCQXt7u9///xMR+Y8QBD7xxBNYuXIlVCoVZs2ahaVLl+I///M/0dTUhD/84Q/47LPPcOnSJVy+fBkGg0EMB+Pj4zFr1izccccdmDlzJjQaDebMmYOf//znOHPmDNra2nDp0iXU1NSguroaJ06cwAsvvMBwkG5rQrjnLnATWoVtJhOAm23GhrIynNi5Uzwmfc1ne/fi6uefI2zqVLHlWBoiegr55PcTCMFUs17vj7fulBC8SQOysk/LsPPdnTBZTB7Odn29/JX5Pg3kkK5Du1iLjBkZ4t6DJcdLHNaiVqix9wd78S8P/gu2ffPmd3PpcBLh9cL+gns+2OP0vTh7r9rFWmxevRm5C3Nh7bGi8utKVCVacMe38/BexNc4VHMIeyv2OqxJaIXevHqzy/c71s/V38KGhQ0oXPjxj3+M//7v/8ajjz6Kt956Cz/4wQ+wf//+gC7qV7/6FfLy8nD//fcDuFnBcPToUUyd6nqmyldffYW77rrLb2sI5aqJiYTtaRRMzv6OQ/W/SWGtbDEeHaGaLFT/fSeCifL3wr+VsQmFvxV/f2cjmoiEduDjx4+Lw0G8nRIcHh6OoaEhhwEh06dPR2dnJ9RqNUpLS7kvINEoeKrMO1NSgsbyciwsKBAHlUjbh5du3erwmk6jEXWlpViyZQtyfv1rp9eak5cntiUDjqGh/H7erjMQTBYTdr67E8ZrRmxevTlok4+F1whTgfMW5zm0LEs/m85pEK8nBHEZMzKgUWlQeqIU/YP9WK5ejqy5WQ7VgtL3umHZBofry+9fsLIAGpUGxR8XIzUpFdXN1WIA6mwqsvy9vPbxazhUewjX7dfx87U/x44HnQ/UGS8epxgPDg6it7dXrKoLD/dYdDhmcXFx6O7uFh8PDQ25DQcDwd9fnCdCWxn3zyMKPrZNEhERTQ5msxmlpaXIycnBs88+izvuuAMff/wxBgcHPYaAAvmU4KSkJDz99NN46aWX8OKLLzIIJPIj+ZRgOfmQEOkehnaLBTaTyeE1XRoNutrakLFhg8tr2S0W8Z4AHO7vaiiJs70IXYWG/goTpYNBpNVwJotpxGCQ0fJm30P53oPylmX5v6G0/Vho9x0eHkZ3bzdSk1JRY6qBoc0gTjKWv1fh+tK9E+V7H6oVaqiSVHjt49cQOSUSxmtGWE7fDBBTk1LFoSTC9aUh48EvDsLcZcaU8Cmj/tz8yWPq9vjjj+N73/seLBYLNm3ahM2bNwd8UXfffTc++ugjrF+/HjU1NVjg5aadocyfwdvmzZvR3NwsPk5PT0dZWZnfrk80WQgt4NLHROQc/16IiEbP3ZTgqVOnYmBgwOW5o5kS/NBDDwXmjRDdxoQgTqnR4ExJyYhQzVkwl6BWOwweWbp1q0MLcVdrK8wGw4jpxMK12qqq0G4wQKnRIO7W9jTSANLboSRCu3NrZaXDJGZPoacvnA3VkE/7HUtloXT6b8nxEreVhM6GlACuJz1LQ79Xj72Klo4WDAwOYPns5ViuXj6iBdhVECkEhRqVZsTncPCLg+i40YEmcxO2rNmCgpUFUMYpcfCLgw6vF4LQvMV52LJmCzpudCA5Nhn5K/NH/dn5i8eA8OGHH8bq1atx4cIFqNVqJCcnB3xRWq0WJ06cQEFBAYaHh/H8888H/J4TyTPPPIOf/OQnDo+JaGIL9TBGCI5CfZ1ERESBMtopwdJwMD4+HtOmTUNKSgqmTZvG4SBEIUQI5ITWXsC7UM1VKCU9Lq/kEx7bLRaHENGb+7VVVaG2uBjLCgvF4DFdq0VrZeWIScyu1uYv0mm/3gR77kin/0qrAt21HstDS3ehqvBaZZwST+5/En39fWgyNyF3Ye6I60vvKQ0KjdeM2PfJPkRHRMPeb4el24IdD+4QPwfrDSuSYpPEaso9H+xBdVM1NCqNOJxEOnglFAaTSHkMCP/yl7/gT3/6E3p7e8Vjr7/+ekAXFR4ejqKiooDeYyKbP38+0tPT0dzcjPT0dMyfPz/YSyIKWQy0iLzHvxciut25CwFbWlrQ2dk54hx3U4LDwsLQ0dGBBx54AGq1Gk888QTDQKIQ52uo5q7lV6nRoFmvR6fRiK/feQd2iwVZO3aIlX1z8vKwsKDAZdWis2s2HTkC04cfAoAYEArtzvJJzL5UIY6GWqEW982TBnvCHnyjCcHkE5S9aT12xVm4uGH5BqyYvUJsjQYw4vryewrh4p4P9qCrtwuWbgsip0Y6/Rw8cVaJGSo8BoS//e1vUVRUhMTExPFYD3npmWeewT/90z+xepCIiIiIyAeNjY3YsmULTCYTEhMTYbFYxEEf3oSAwr6A0vCwq6sL3/72t7Fr1y4GgEQhytv9+PwRqgkBYGtqKrpaWxGVlISh/n5cvPU/xqbl5MCelwfgZhDpqRVYGIhirq9H7IwZUD/wAJYVFvp93WMhDfbGEurJAzRfWo/lhHVI9xBUK9QOgZ60TVkIFDUqjdNpy0IbsLRS0J38lfkOLdBy3gxmGU8eA8I777wT2bJ+eQq++fPn4/333w/2MojoNvP5558jMzMz2MsgIiJyy10IKG0HbmlpEc/xFAJySjDRxObP/fg8UWo0aE1NxfyNG9FjNkOp0aC2uBitJ07A1tSEaIUC0QoFDGVlaDcYMH/jRsSlpkKp0Ti9XrNeD3N9Pezt7QgDsPSnPx2xr2GwSYM9eRWgP64rbz32hnB/+TATV+sW7lGwssDpPXypFJRf25mxBKmB4DEgfOCBB5Cfn4958+aJx37zm98EdFFERBSatm/fzjZUIiIKOqEV+Pjx4xgYGEB/fz+uXLkiBno3btyAzWYD4DoETEhIgFqtdggPGQISTV6B3o9PymwwoKu1FR1nzwIAWiorsaywENNvBYBKjQYtlZWITEhAy4kT6O/uRq/VipbKSpgNBnGNQsWjsMegub4e0xcvHpf3MBaBaKMdTejoapjJaO/hruJvNNWAGpUGqUmpI4aeBIvHgPCtt97CT37yE8THx4/HeoiIKMR89tlnDo9ZRUhEROPBbDbj5ZdfhslkwgcffIDBwUFMnz4dFosF3d3dYgDojrMQkO3ARLen8WzBFQI8u8WCutKbU36jFQpk7bhZfXampAQXKioQmZQEAOjv7sacWy3HQpWj9PelW7diWWGhOJzEXYv0WHjbhh0MYwkdvT1X/jp56Cev+JN+XvoLvlcDGtoMaLW2wtBmEIeYBJPHgFCpVGL9+vXjsRYiIvKTp59+GqdOnQrItbdv3+6X66xatQq7d+/2y7WIiGjikg4GuXz5stgS7CwElFYASgnDQYQKwrS0NKxdu5YTgokoKIQw0mYyicek04yVGg1wazhJbXExrEYjohUKpGu14k/gZsBot1hgM5nEqkRh4jHg/0BvPNuwJwJ5ICivMJR+XtpHnFcfuqss9Gcrtj94DAijo6PxD//wD1i8eDHCwsIAAE8++WTAF0ZERERERJODsCdgc3OzWMlnsVgwODgIu93uEARKW4IFUVFRSE5OFs8LDw/Hgw8+iOnTpyM2NpbTgYnIo9GGab6cJ39tglotVg0CNysHG8vLgYICMUCcrtFgukYjniMN5qIVCjSWlzuEhtL2Yn8HesK1vZmqPFahNqDDGU8BnvTfJMFFlaK7fQZDbaKxx4Bw7dq147EOIiLyI39W5uXm5o44xn0IiYhIqrGxEdu2bYPNZnPYC1AI9Do6OsTBIIDrSkBpS3B4eDjuv/9+XL16FS+//DL3BCSiMRlNmCZMD7YajR7Pc/daeeWgdI/BCxUVmJOX5xAsOnu9sxZpf++rKNxDDDI9vOexCLUBHc7IAzz5mr1pWw+1KkF3PAaE69atQ3V1NXp7e8djPUREREREFELMZjNKS0uRk5ODJ5980uNkYClpEBgdHY3k5OQRFYQRERF48MEHoVarWQlIRAEjDdO8rQps1uthNRoxbeZMsdXX1euF1yZlZIwI7MRw8lbloHRNdosFpmPHYDl7FnaLBVk7dji8Pl2rdbnWQO2rOB4DXUIxOPNU1Shdc9X5KhR/XIzC+wvd7h8YalWC7ngMCLdu3Yr58+eLQ0rCwsK4JyERERER0SQi3QewtbXVIcQT9gKcOnUqBgYGALieDCzfC1C4RkREBHQ6HVatWjW+b4yI6BZpmOZthZx0L8ALFRWIVihcvl6p0SApIwPzN24cUQ1ot1gwJy9PvJ40oIxWKNBx9iz6u7rQ29GBMyUlDpWDzioffW2X9vX14zHQJRSDM09VjdI173x3J9754h18feVrvL3t7ZBtk/aFx4AwPj4ev/nNb8ZjLURERERE5EdC9d+GDRvw+9//HsePH0dPTw+uXLniEAJev34dXV1dDufK24CFcJCTgYloovO2Qk46bES6D6AzwhCRcwcPoqu1FcDNQE9oI15YUCCGc9LQT6giFMgrDf2x96Cr14fy1GJ/8WWvQ1+qGgvvL8TXV75G/2A/dKd1UExTeL2fYqjuv+gxILzvvvvw9ttvY/78+eKxlStXBnRRRERERETkmdlsxssvvwyz2YyqqqoR1X9dXV24fv06nnvuuRETgYGRIWB8fDzi4uIcrhEeHo7s7Gx88cUXWL9+PUNAIprwfK2Q8+b10gEfZoNhRLDnbIqxEMwJg0ycBZGe9h70JuRzFYjeDlOLfdnr0Jeqxux52Xh729vQ1+th6bag7NMyHKk7gqy5WchfmQ+1Qu0yCAzV/Rc9BoSfffYZ+vr6cPr0aQA3W4wZEBIRERERBY5Q+bdlyxa0t7dj27Zt6OnpQX9/v8MQkLCwMFy6dGnE+fLgTxoOCm3A0hBweHgYc+fORWlpKYeBEBHJeBPCSasNzQaD0/PkU4ydXcPdnoPyewGO7dKuzpWuTTqdeDz2Ggy2QO51KASKJosJhjYDTpw7gRpTDQxtBhR9t8ghCNQu1ophYSjuvwh4ERDeuHEDZWVl47AUIiIiIqLJT9r2+9JLL+Hw4cOIj48Xh3aEh4cDuBnyPffccwDgtPpPzln13/DwMFJSUhAZGYmIiAisWbMGTz31FCsAiYh84EulXW1xMepKS9FpNCIxI2NEK7F0L0I5YRKyub4erZWVWFNU5LH1VxryeVqn/Pnx2Gsw2Py516GrikC1Qo2i7xZBd1qH6qZq1LfVY+e7O1F4fyEKVhaI4aC0ajCUKgcFHgPCO++8E++//z7uuusuhIWFAQDmzp0b8IUREREREU0kQvD3jW98Az/96U/R19fnMK1XGNrR0tKCzs5O/PrXv0ZnZ6fba8qDQfkQECH8i42NxWuvvcbqPyIiL/i6954vlXYdX38Ne0cHmioqsO7llx2Gjcj3IpQTJiGHR0Sgvb4eJ3bu9BgSSkM+T+u8HSoGA8lda7BaocaOB3fAZDFh57s7YbxmhKHNIL4uVKsGpTwGhA0NDWhoaBAfh4WF4c033wzoooiIiIiIQoUw4beqqgrf+MY3AEDc708a/JlMphHTfuWtvtLHQjgYHR2NjIwMhyAxJSUFYWFhMJvNmDlzJrKzs6FUKvHEE0+w+o+IaIx83XvPl0q7e7Zvx/W2Ngz398NsMHgd3kmfU2o0qC0uhtnLkNDbdd4OFYOB5E3IJ60mtHRbYLKYoFaoQ3Jqs5zHgPDHP/4x1q1bh6lTPb6UiIiIiChkSff1O3fuHB599FFkZWXh7NmzI4Z7OAv+AOCTTz5xem1p8DcwMIDo6GgkJSU5vV5nZyemT5/Oyj8ioiAJZCWdKjsb33n7bTTodLBbLLCZTEhQq73eXxAA4lQqrCkqwomdO2E1GtGs1zPYCxBfJgo7C/mcna9WqKGYpkD56XIopilCPhgUeEz96urq8Oqrr2L16tX4/ve/j4yMjPFYF/76179Cp9MBAH71q18hISFhXO5LRERERJNDY2MjtmzZApPJhMTERLG197nnnkNfXx/sdjvOnTvncI67ij9pZaCw35+z4C8pKYmhHxFRCAt0JV2CWo1ohQKN5eWIVh6t3d4AACAASURBVCjEe/m6R+CaoiIxUKTAGOtEYVfny6sNfQkig8VjQLhjxw48+eST+OSTT/C73/0O165dww9+8ANs2LAhoFWF+/fvR1FREc6cOYM///nPKCgoCNi9iIiIiGjyefLJJ3Hy5EkAQEtLi3hcqAYMDw/H0NCQ0+Ee8uBPrVZj586d+M1vfoOwsDAGgERE5JazKkX5MfleiNLnfd0n0R1fruXutf5cU6gY696Ars6XVxuONYgcDx4TvuHhYRw/fhzvvPMOWltbsWHDBlgsFjzxxBMoLi4O2MIGBwcRFRWFGTNm4NSpUwG7DxERERFNTi+++CI6OjrECsLOzk7xpxD4vfTSS3jxxRe9DvseeuihAK+aiIgmA2ctxfLKRXdThc+UlPi0T6I7vuy56O61vu7dOBGMdW9Ab8+fFENK8vLycM899+DRRx9FZmameNxoNAZ0YTExMejr68O1a9e4ETMRERER+WzhwoX49NNP3b6GgR8REQWKp0DNXcWgP/dJ9OVa7l4bqlOQJ0L77kQYUhI2PDw87O4FXV1diIuLg81mQ3h4OOLi4sZ0w9raWuzZswdvvfUWAGBoaAi7du1CY2MjIiMj8dxzz2HOnDmoq6vDf/3Xf6G/vx9FRUWYNm2a2+t+9dVXuOuuu8a0NiIiGik3N3fEsWPHjo37OoiAv/33+Oa32oO7kAnqsb9MBxDcv2F+ZyMiooloNO21vpwjVAwuLCgYVXXeZGz/9VbJ8RKUny5HwcqCkA/hpEIt2Ax39YTBYMAjjzyCqKgoVFRU4KGHHsLf//3f48MPPxz1zV5//XU888wz6O3tFY8dPXoUfX190Ol02L59O3bv3g0AWLJkCXbv3o29e/d6DAeJiIiIiIiIiAJFqAZs1uu9PkdoGfYmsEvXarGwoGBEdZ7NZMKZkhLYTCaH3/2xvslCu1iLgpUFId2+64y+Xo+yT8uw892dMFlG/puON5cB4b//+79j9+7diIiIwO9+9zu8/vrrOHDgAF5//fVR32z27Nl46aWXHI59/vnnyMnJAQAsX74cdXV1o74+EREREREREZG/CQGeUqNxGdKNhaswURr8uQsBvQkY/SUQ1xwLoX03WFV4o/08tIu1yJiRAeM1I/T1wQ92Xe5BODw8jEWLFuHKlSvo6emBRqMBcHPamyd//OMf8cYbbzgce/755/Hggw86TJAD/tbCLJgyZQoGBgYCOiGZiIiIiIiIiMgb0vZdXwd1uGr99bYl2N00ZClnQ1GAwAwWmYzDSsZitJ+HWqFG0XeLxDbjYHOZwg0NDQEAKisrce+99wIA+vr60N3d7fGimzZtwqZNm7xaQFxcnMM1h4aGGA4SERERERERUUiQBkC+DupwFR6NJlSST0H25l6BGCwSqsNKPAnUPo1j+TxCaXiJyyTu3nvvRUFBAS5fvoxXX30VFy9exK5du7B+/Xq/LuDuu+/GRx99hPXr16OmpgYLFizw6/WJiIiIiIiIiEZLGgDJQzpPoZOr8Eh4LLQsuzq/QadDXWkp7BYLsnbs8HqdAk+h4mgE4pqBIh0E0hGgyseJ9Hm44zIg3LZtGx544AEoFAokJyfj4sWL+OEPfwitnxNirVaLEydOoKCgAMPDw3j++ef9en0iIiIiIiIiotGSBkDyQNBTJaCr8Eg4LkwvFs4fS5XbZAmq/Elfr0f56Zuf7/cnaOXjeHHby5uRkSH+Pnv2bMyePXvMN0xLS8P+/fvFx+Hh4SgqKhrzdYmIiIiIiIiIAkEI7uwWCy5UVAC4GeiNtd1Wfr48cFyUn++wBmehoTRUFK4h/92fLbUTibC3n3axFgkK5/s00k3c7I+IiNwKCwvD8PCww2MiIiIiotuJENzNyctzmBY8lqo9Z9WC8sAwQa1GtEIBQ1kZ2g0GrCkqcjnpWCD93VBWhtbKSqfn3Q7ke/xxwIprDAiJiMgtaTjo7DERERER0WQn34cQ8G3ohbPXOgurnAWO6VotWisrYTUa0azXj3heqdGgNTUVSo0GcSoV7BYL7BYL0nJykJSR4fK829FEHbAyHhgQEhERERERERG54Sy486UaTT4JuVmvh1KjASTViO7uvaaoyKF1WMpsMKCrtRVmgwGq7GxEKxRoLC9HtELh9rzbEfdpdI0BIRERERERERGRj3ypRpO+VgwLCwq8DqucBVttVVWoLS7G/I0bHdqe3U1dJnKFASERERERERERkY98Cd+kr/VXm2ttcTGMhw4BAB4uLfW4rrFMSKbJLzzYCyAiIiIiIiIimshsJhPOlJTAZjJ5fK0Q4I01pFtWWIiMDRuwrLDQq/sLlYvNev2o106TFwNCIiJySz61mFOMiYiIiIgcuQrffOFrUKfKzsbDpaVQZWd7df90rdahFdmfa6e/MVlMKDleApNlYgWubDEmIiK3OMWYiIiIiMg9X9qGXbX6+jL0ZDT3d9V67I+109/o6/UoP33z33HrfRNn/0cGhEREREREREREY+DLfoQNOh3qSktht1iQtWOHeNyboM5VQOfN/cdyrmAsIWaoM1lM0NfroV2shVox+vBTu1jr8HOiYIsxERG5FR4e7vYxERERERF5x2Yy4XJ1NQZ6enC5utqhnThBrRanHLtqM/alHVjesuyPVmJXbcqTgVD5p68fW6u1WqHG1vu2jilkDAZWEBIRkVtKpRJXr14VH8+YMSOIqyEiIiIimria9Xp0X76MaSoVui9fRrNe71CJ56lCL12rRafRiOYjR6DUaKDKznZ7L+m1/DE92Zdqw4lmolb++QsDQiIicuvatWsOj6VhIRERERHRZOfPffeEcE6p0cBsMIwI6zyFeAlqNbra2nDxww8RMW2a04BQWK9So4E9Lw92iwU2k2lSh3v+IFT+3a4YEBIRkVscUkJEREREtzN/7rsnDemchXvehHjLCgsdfsqJ6y0oQLRCgcbyckQrFAwHyS0GhERE5FZaWhpaWlocHhMRERERTXbSSjyE0L57quxst63FzqoQ5WvnNGJ+BnLcaZ6IiNz653/+Z4fHv/jFL4K0EiIiIiKi8SNU4pkNBizdutWrEEk+GCRQ3N1HqEJMUKsdfpfyx8CSiY6fgSNWEBIRkVuffPLJiMeZmZlBWg0RERER0fgYzVAPf7Yju9Og06GutBR2iwVZO3b4fL4/BpZMdPwMHDEgJCIit44ePerwWK/Xs4qQiIiIiCa90Qz1mCihEweW8DOQY4sxERG5tW7dOkyZMgUAMGXKFGhD/MsOEREREVGwuGrp9ZWnVuVF+fm4Z/t2pOXk+NzSPF5t0DSxMCAkIiK3Hn/8cXFy8fDwMB577LEgr4iIiIiIaHLztD+eEES2VFbis7170aDT+e3adHtiizERERERERERUQjxd6uydGLvRGmDDlUmiwn6ej20i7VQKybP9GNWEBIRkVtvvPEGwsLCAABhYWF48803g7wiIiIiIqLgC2SrrretykKr8aL8fLevk1YNSvfeY6ux7/T1epSfLoe+fnJVYDIgJCIit44ePYrBwUEAwODgIPRsRSAiIiIiQoNO57S9VxocBnq/P2mQ6O5e6VotFhYUOFQNemo15l6FzmkXa1GwsgDaxZOrApMtxkRE5NZ9992HiooK8XFOTk4QV0NEREREFFxCu25vR4fT54XgTSD8HsiJuTaTCSd27oTVaHR6L2cTez21GkvfB6f9/o1aocbW+ybf58GAkIiI3Orr63N43NvbG6SVEBEREREFX4NOh7rSUszfuBFLtmwBcDOgE6r47BYL5uTlOQRvgdzvTwgHzfX1UC5e7PFe0v0I3QV/3Kvw9sIWYyIicuv48eNuHxMRERER3W6G+vthPXsWAHChokJs023W63GhogLRCoX4OF2r9biXIDD6lt5mvR5WoxHKxYuxpqhIvJer63k7xdjbfRAnA7ZTs4KQiIg8GB4edvuYiIiIiOh2sig/H+0Gg9jOK93bT/pTCOLsFguiFQqPQaG3Lb3SCsAEtRrpWi3sFovX12Nl4Ehsp2ZASEREHuTk5ODYsWMOj4mIiIiIblcJajXWFBU5rQ6U7vUnBHB2i8Wr8Mnb4E4eZiWo1YhWKMRj0QoFlBqN01Zn+RrpJoamDAiJiMiDyMhIh8dRUVFBWgkRERER0cQhBHE2k0msIPTm9Z44C7PkYWRraiq6WluxsKAg4C3C8opGT8dD0XiHpiaLCfp6PbSLtVArQuOzYUBIRERuyfccrKysxC9/+csgrYaIiIiIKPiC2ZLqLMySh5FKjQZmg0EMDm0mExp0OgA3W6T9Gdi5+izYtuuavl6P8tM3P5tQmYjMgJCIiNxat24d3nvvPQwNDSE8PBza27jsnoiIiIgI8K0lVRqUCXsT+lJV50slnjQoNB46hGNHjuCe7dthNhhwZt8+9HV1AQCyduzA14cOofqFF5D11FO4c8OGUd1PeE/Sn56OE6BdrHX4GQoYEBIRkVuPP/443nvvPfHxY489FsTVEBEREREFny8tqc4GlwDeV9WN9py60lL0dnYiYto0rCkqwtd/+hPaTp3C1wcP4nJ1Na59+SU6zp7FyX/7N4eAsFmvh6GsDK2VlQ5TkV1x9Vnc7nsdugta1Qp1yFQOCsKDvQAiIiIiIiIioslKCMqEicPSqcfutFVV4X+3bAGGhxGXmgqlRuP1PdO1WizZsgXz/u7vsKywEAlqNe5YtgzDAwO4duYMzr//PoYBRMTHY9a998JmMuFMSQlsJhPStVokZWTAajSiWa8fwzu/vQnB7kT5DFlBSEREbr3xxhsIDw8XW4zffPNN/OIXvwj2soiIiIiIJhxfqupqi4thPHQIlq+/RmRsLMwGA1TZ2V7fJ+fXv3Y4FpWcjJg77kCCWo2Y6dNx1//5P+gxm51WNgpTmpUaDc6UlARs0EhbVRVqi4uxrLDQ6/c2XsY6ZGWitVgzICQiIreOHj2KgYEBAMDAwAD0ej0DQiIiIiIiN5yFS74GTssKCwEA8zduFIO8sawlLSfHYZqysBbg5vTjOXl54mMhyKzeswd1paWwWyzI2rFjVPd3RwhBAYRcQDjWISsTrcWaLcZEROTWunXrMHXqzf89aerUqRxSQkRERETkgbP2UmFvvxM7d8JmMnm8hio7Gw+XliJlxQrYLRY06HRenSfXoNPhs7170VJZKbY6S9fXrNfjQkUFohWKgFQJurOssBAZGzaIYWgoSddqMScvD3aLZVSf+0TDCkIiInLr8ccfx5EjRwAAU6ZM4ZASIiIiIiIPnLWXpmu1aK2sFPf283XgCABEKxQjzvO2MtFutaJ6zx4AQFpODlBQAKVGg5bKSofqQen1FuXnO1Qd+psqOzvkKgcFCWo1ohUKNJaXO/3cJxsGhERE5Nb06dPx0EMP4fDhw3jooYcwffr0YC+JiIiIiCikOWsvTVCrxb39fAnc0rVa2C0W8XfAMcTz1AorhHx2i2VE0HimpAQXKiqwsKBADBfl1xtrMDbWvfyCaaLtIzgWDAiJiMijxx9/HM3NzaweJCIiIiLykTwgEwI3b/cpTFCrR+z/Jw3xnIVYzu4pbZOVnyMdRuLvUGyse/kF00TbR3AsGBASEZFH06dPx3/8x38EexlERERERBOOq4CsQacbMQDE2zBNGuI5C7GcXUcIGm0mExp0OgA3qwuFSsLRVg16qhCUrnUiVxNOdgwIiYiIiIiIiIgCRGgRFoZduAvGnFX0SV8vDdi8DRDlmvV61O7bh/6uLgBA1o4dHu/rjqdQUxpgBnoqMo0eA0IiIiIiIiIiogARgrbafftwqboaa/fuRYJa7XQAiBCmySv6BEIYZ7dYxHOdBXnuWmPTtVo0HTmCazU1Xt/Xndtpn77JbMquXbt2BXsR/mA2mzFjxoxgL4OIiIgCqKysDACwcW5PcBcyQR1sigUAbN68OWhr4Hc2IiK6HbV++ilaPv4YvRYLpqlUSFmxAlGJieJPuRilElNjY5Gu1To8Lxwf6OlBo06Ha7W1SMnMdHiNzWRC44EDiFEqnV47KjERqlWrME2lwvwNG5xeP12rRa/N5vY60uu5eh9y8Wo1YlNSxPu6Wqun9+Atf13ndsAKQiIiIiIiIiKiAFqUny/+7qrSztUwEynpwJF2gwFWoxHNer3TKkPr+fPobm3FssJCqLKznV7H2b29bQd2tZ+gu30G5fd11Z7sr8EmE3lAynhjQEhEREREREREFEDOJhHL+RJmJajVWFNUhJrXXkPTkSNQajRiCCgEkE1HjsD04YcAMCIg9PbeQ/39uFxd7XTvRH+Ee67ak8eyJ6I316eR2GJMREREEwZbjMeGLcZEREShy1VbMeC8VTYqMRH1b72F5iNH0Hf9Ou585BHxeMqKFUiYPRt9169jWWEh4tPSvLq3UqNBU0UFYpRKKJcsgdVoRMe5c2ivq3NoZbaZTLj82WdIysgY0S6s1GgQm5LicC1X7b2u2pOF400VFWgsL8fU2FikrFjh82fqS/vz7Y4VhEREREREREREQeZusIirqrxlhYUAgPkbN6J6zx4AN9uZE9RqqLKzPVYOSu+drtXixM6dsBqN4hCUZYWFqC0uFluZ07VaNOv1sJ4/j3MHD2LJli1iZZ+4xoKCUQ08cdaazArA8cOAkIiIiIiIiIgohLkKyoQQ8ExJCepKSwEA0QqFuE+hq70AnWnW62Gur0d4RATsVisuVFQABQVYU1TkEA42lpcjMikJQ/39uHSr/RgA7BYL5uTljVirt+GesxBUGpr6+n7INwwIiYiIiIiIiIhCmLvqQuBmCGe3WMTfbSaTWA0IwKvAMF2rRfORI7haUwMAWFhQ4DAwxWYyiSFgWk6OQ2UhAFyoqMDCggLx2p7W7Oz+0p9yHDgSWAwIiYiIiIiIiIgmMPkQlDMlJbAajUjKyBADt2a9HoayMrRWVmJNUZHTCcMzs7JgNhgQnZQ0YsqxEDhqNm+GKjsbcSqVGDgKxtIK7E0IKv3JikL/YkBIRERERERERDRBeArGhEq/jA0bxP0IgZvBWmtl5Yj9BKXXWZSfj2iFwiGEa9DpcLm6Gp0XLkC5eLH4nDzQC0QrsPxarqYlKzUa1BYXY1lhodf7LpIjBoREREQ04Tz2l+nBXgIRERHRuJEGZdJKwGWFhTAbDA5hXINOh9p9+6BYsAB2qxXRSUliUOhsP0HA+Z5/wM0Qrq60FEP9/Uhds8ah8lBYk1KjcViDp0pFX7hrKxbaqu0WCz7buxcXP/wQABgQjlLIB4QnT57Ee++9h1//+tfBXgoRERERERERUUC4qryT7yeYrtWi6cgRtJw4gf7ubvRarQAcA7T+ri5cPn0al06dwuDAAOxWK7753HMOAaA3Q0TEEO5W0CjVoNPhzL59iExMxHB/P74sKcHavXtHVCqOZb9A6Rrln0+CWo1ohQKN5eVIXrgQyXfdhfkbN476Xre7kA4IL1y4gPr6evT29gZ7KURERBQCjh07FuwluJWbmwsg9NdJREREocdVtVyzXu+wn2CCWo1ZWVm4WlODnvZ2xEyfDqVGI75+UX4+AKC3owPn3nsP1rNn0XH27Ij7Odvzz1kIl7VjB86UlKCxvFyckCywd3aix2JBZFwcepua8NH27fjO2287VCqOhXSNwhrsFovYBi1c326xoKOxET1m85judzubsmvXrl3BXoQrSUlJuPvuu1FRUYG8vDy3rzWbzZgxY8Y4rYyIiIhopLKyMgDA5s2bg7qOUMbvbERERM7FKJUYsNsx0NODeLUaUYmJ4vHIhATMW78ebadOIUaphHLJEnQajTDX1aGnvR1J8+cjZcUKAEBUYiJSV6/GnAceQMrdd2PQbsfd//iPiE9L87iGxgMH0FhejqmxseL15GsLmzIFTRUVmHnPPehqa0NfZyfm/t3fYXhoCEP9/YhOTsbs3FykrFghvgd/fT5TY2Mx0NMD47vvYmpsrHifeLXa6WdH3gvpgFDAgJCIiIgmAgaEnvE7GxERkXNRiYlob2gQwy9p4JeyYgWaKipgKCvDtdpazF67FrPXrsWU6GgkzJ0LDA87Dcbi09Jw5yOPiOGgzWRC44EDiFEqHV4rHFdqNIhNSUG6VuvwvHRtHWfP4tLJk4hNScGKn/0M01QqpD/wACJiYxGvUgEA2r/6Ckf/8R8Ro1Ri+sKFfvt8hDBwamyswxqF9TXqdLhWW4uUzEyGhD4KSkBYW1uLf/mXf8H3vvc9AMDQ0BD+9V//FcXFxTh06BAyMzORJOltZ0BIREREEwEDQs/4nY2IiMg1oUpOHtAJz12rrYXVaERkQgJm5+YidfVqdDY3O4SKrkJAAKh9/XXUvPIKwiMikLp6tXhcqByMTUnB0q1bnYZrwtrmrV8vhogJarUYXhrffRcIC8O1mhoYDx9Gu8GAzgsXHKYbS9fl6bErQlAoPycpI0P8fIYGBtDe0IDBvj40VVR4vCYFYQ/C119/HYcOHUJMTIx47OjRo+jr64NOp0NNTQ12796NV199VXx+z549471MIiIiIiIiIqJx5WxfQOlzzvb2kw8bcTf51xVXw0CE6wlhoHA9YVKwdJIxCgqg1GjQUlmJWIMBUcnJyHrqKfEe8nV5euwN+TnC52O3WNBYXo7W1FRYjUa/TFSe7Ma9gtBsNuPRRx+FXq/Hpk2bAAD79+9HVlYWFixYgJkzZ+K3v/0ttvo45Yb/azQREREFGysIPeN3NiIiIt8JlXJJGRmYnZuLXptNrJwTqvikexa6qkKMV6sRm5KC+Rs2uLxG44EDOPPaazh78CB62ttx4YMPRuxJKBAqD8MjIjA1JgZ3LF+OrkuXcPnkSSzZsgVpa9Y4VPhNjY2FUqNBU0XFiHZmd+t2RX6OvA153vr16Dx/Hub6erTX1bH12I2AVRD+8Y9/xBtvvOFw7Pnnn8eDDz6IlpYWh+NdXV2Ii4sTH0+ZMgUDAwOYOjWkhywTEREREREREQWcL9V2nqoQl27dCpvJhIqf/QxXTp+G9fx5fPO558TXpGu1+LKkBJa6OsSpVFhYUOByGrF0irCwHmk1onydS7duFacRo6DA60pBV1y9V+nxOJUKJ3buhNVoRLNeP+Z7joV8SnQoCVgCt2nTJrFC0JO4uDh0d3eLj4eGhhgOEhERERERERFhZBux/KfA2wCqWa/HpVOn0Ge14lpNjcNzCWo11u7di9riYszfuBE9ZrPL60gDx2iFQryvEA4qNRrY8/Jgt1hgM5nE55ytfTQtxt6QtmYrNRqcKSmBUqOB2WAY96AuUO/RH0Iihbv77rvx0UcfYf369aipqcGCBQuCvSQiIiIiIiIiopAgDd3k+wFKeRtApWu1OLtqFa6cPo3EuXNRfWv2w6L8fCSo1VBlZztU3nm6nnw94joKChCtUIhrEkJEZ9dyFRyOhjwoFdYnVC82JSWh3WCA9fx5JM2bN25BoT/fo7+FRECo1Wpx4sQJFBQUYHh4GM8//3ywl0REREREREREFDK8Cf+8DaAS1GrkvfqqONCjrrQUwM0AT7h2s14Pq9GIpIwMsfJOCNLcVSq2VVWh6cgRpGRlOaxDaEO2WyziMSGQFNYkf1+jbcl19VkJ67GeP4+rNTVo/uADRNwaojseFX3u2r+DLSgBYVpaGvbv3y8+Dg8PR1FRUTCWQkREREREREQU8tyFf9IgzVkA5Sxok7YHy+8hv588cGvQ6XBm3z40HzmC3L17HcK72uJimD78EJHTponHpW3IrgJJZ0bbkuvqs5K+5+7WVrTX12PazJnoNBrxyTPPIDopySG0vJ2M+xTjQOFEPCIiIgo2TjH2jN/ZiIiIRkeY0OtsCq8wTdjTtGFnz0clJiJerUbXpUtIysgQry+9X4xSie5Ll3C5uhrxs2fDdvEiWj7+GHaLBdNUKodrTps1C33Xr2NZYSGGh4cdJiXHKJUw/u//4vrFi5i9di00jz3mdqrwaCYbe/qsxOczMxGVnIxohQIN5eVoO3kSloYGxKakOP0MJ7uQaDEmIiIiIiIiIqLRkVbMOasW9PS8UKnnrv3X8vXXaHr/fQwDWLt374h7C1TZ2VBlZwPA3yYW42/Tl8/qdOi1WqFYtMhlpZ6nikh/kFdQ2q1WRCclheT+gOOBASERERERERER0SThrC1XuvedPLSzmUywWyyYk5cHAGL7LwCHycTJCxag9fhxJC9YgAS1Glk7dnhci7Opy1//6U+4fPo0kt0MqA30tF95SOrNe5nsGBASEREREREREU1gzXo9DGVlaK2sxLLCQqCgwGUlnDy0a9brcaGiAgtl59itVod9Bpf/9KfixN+2qirUFhdjWWEh4lQqMWwTriedHiyfvqy9NRzF1fpsJhOs588jMikJSo3Gq/fv6zCTQAeQExEDQiIiIiIiIiKiCSxdq0VrZSWsRiPMBoPb0KurrQ2tlZVQajRigCdcQ1pNV71nD/q7um5O+9XrsXTrVvG6J3buhPHQIQDAdI0GdaWlsFssiFYoRgRv8jDO1SRfIeSzWyw4d/AgAMBsMIjtyq5e72yIijefl/QncUgJERERkd9wSIln/M5GRETkf8LQjciEBCg1GjRVVCBGqXQ6pOP4s8/i3Dvv4MoXX4ihoLOBHvFqNYYHB9F3/TqsX3+NpPnzEZ+WBsBxEInt4kVcPn0aQ4ODuPO730VsSorDUBFvBo3YTCac2LkTpo8+QmxKCsKnTIHyG9/AlKgoxKvVHgezpGu1mBob6/G9O3xeboaY+MJmMomDWPxxvWBhQEhERETkJwwIPeN3NiIiosAQQq+migq3E42nzZqFK198gaH+fkQnJ494jRB4JWVkwN7Rgcb9+9HR2IgbZjP6rl9HjFIJ5eLFuPORRxCfloZ4tRpWoxHXTSbEpaZi6datYlDmrvW3raoKf3nySVytrYXVaETLxx8D4eFImjMHnefPY2p0NK7V1GDAbkd7Q4MYwAnrU2o0YhgphJye3rsnown7Vj3ZswAAIABJREFUGg8cgKGsDNdqa29ORp6gISEDQiIiIiI/YUDoGb+zERERBZa0Yq/XZhsReMWnpSFdq0V0crLTqj55Zd7Q0BCip09H8oIFuPDBByPCN6F6cWhgAAM9PQ4Vf9JryQM7oZLRXFeHKRERiExKwkB3N2YsX46ZK1di3vr1iE1JwUBPD4zvviteQ7hmbEqKQxgpf+++BnXSKsbIhASnAaOzADFGqcS1WyGnq/MmAu5BSEREREREREQ0SbibWOzsNXLyPQm/+dxzAG5VA94aUuLsntEKBQxlZWg3GLCssBBmg+HmkJFbw0/k1YTLCgvR192N/hs3YDl7FuEREUh/8EGk5eTAbDAgTqWCKjsbbVVVaBeuBff7B7p7X5406/WwGo1IyshwuTehqwnRa4qK3A5emQgYEBIRERERERERTTI2kwl2iwVz8vJ8Cq5chWyewrd0rRZNR46g5cQJ9HV3o89qBQoKXIaVquxsfHf/fthMJhz+4Q9hMRjQvWQJzAaD+Lp0rRYn/+3fcOn0aUTExaGlshIAsCg/X2xZ9nWCsbv1Cz9dXUceTkrvPdGnITMgJCIiIiIiIiKaZJr1elyoqMDCggK3wZmrgM1d8ObsuQS1GrOystBuMCB5wQIkyaoNXVX+JajVWLt3L2qLizF/40Z0nD0rhprNej3aTp1Cb0cHWj75BAM9Pejv6gIAcdqyUNUnTFEebVDoKQB19p69nZ7srxAzkBgQEhERERERERFNMu5acYG/hVZ2iwUXKioAOIZc7sKvZr0ehrIytFZWYk1RkRh6LcrPF0M6AKh57TV0nD2Lldu3I06lcrlWVXY2VNnZN6sM//hHYGgIdqsVs7KyEKdSISwsDGnf/CZuXLmCqzU1Du9BqJIE4FVYN1rOPg9Pn7G7c0MNh5QQERER+QmHlHjG72xERETjQ5hq7GpYhzDsIykjAzNXrhwx2MPdwI8YpRKtn36Ky6dPY6CnB1e++AKtn34K5ZIlmJ2bi6jERDQeOIDTL7yAa7W16LFYEBYe7jCwxNXAj68PHsS1M2dg+eorDPf3Y6CnB6pVq3DvM88g/cEHMU2lwvwNG8R7GN99FzNXrsT8DRtcrnc004nlnH0e8s/Y1X3GMjxlvDAgJCIiIvITBoSe8TsbERFRaBBCq5n33IMb164hKSPDIbyShl/y4KvXZsOFigp0X76MKZGRaK6owOXTp2E1GpGSmYmoxETEKJW48sUX6LFYMGvVKkyNjERSRoZDuGcoK8O12lrxnKjERCg1GvS0t2POunWYs24dbly5gvkbN8JcV4epMTEOaxXeQ4xSidpXX8W89euhXLx4xHt1N03ZW54CV3f38ebcYGNASEREROQnDAg943c2IiKi0CCEVk0VFR7DM3nw1XjgAC58+CEiExKw/Gc/Q8Ls2RgeHMR1kwlDAwNob2hAUkYGMr79bSTOnYupkZG4UFGBpIwMdF26hBilEkkZGbhWWwur0YjIhATx3vFpaVi0aRPmfOtbaD1xAk1HjuDcO++gvb4e1y9cwKWTJ8V1CO/h+LPP4tw77+CG2YxFmzaNWP94VfBNhEpBV7gHIRERERERERHRbcrdZF5hb0HhOaVGgzMlJVBqNFAuXgyr0YgesxlZO3Y47Gko3W9v6datsJlMiFYoHJ5L12oxXaPBdI3G5R5+6VotviwpwY0rVwAA8zduRI/Z7PB6m8mE/hs3MDUmBv03bsBmMo0YBOJpAIm/jNd9AiE82AsgIiIiIiIiIqLgEEIt+WTeZr1+xGvMBgMay8thNhiwpqgIms2bR4R7aTk5WFhQ4HBcOH9Rfr74nDBlOVqhcDnZV5hwrFy2DDHTp6PHbHZYq7DefpsNyYsWod9mQ7NeD5vJhDMlJbCZTD59Fm1VVfjfLVvQVlXl03mTASsIiYiIiIiIiIgINpMJnUYjopKSoNRoRjwvrTaUV8sJwaI9Lw/RCoXT6yeo1WI4qNRoAFmQ6IwqOxtr9+5FbXExYpRKVO/ZA+DmxGThesDN6kazwSBe39mUZU9qi4thPHRIvK8/OavMDCXcg5CIiIjIT4Q9CBsaGrBu3brgLiZE8TsbERFRaJEOIGnW61FXWorrbW3ouXpVHB4ikA7baKuqwvFnn8W0WbMQn5Ym7r830NMD47vvupxWLOxnGJuSgqVbtzodgiLXVFGBSydPoqu1Fefffx+XTp9G562BKAlqNVJWrMDw8DCs588jKSPD5f6G0vv02mwj7jlt1iz0Xb+OZYWFiE9L8+vn7GwoSyhhQEhERETkJ0JA2NLSwkElLvA7GxERUWiRDiBJ12oRHhExYuCIs0Dt+LPPwnjoEPquX8edjzwihofxarV4rfaGBnywbRsuV1cjOjkZKStWOB3k4WnKsHDOvPXrEa1QoP/6dVytqcGU6GjEq9VoPHAAlz/7TAwmZ+fmIiUzE5EJCS7vYz1/fsQ949PScOcjj/g9HBTeg7PQMlSwxZiIiIhuW08//TROnToVkGvn5ub65TqrVq3C7t27/XItIiIiIjl527CrgSMAHNp2lxUWAoD4UyBtPT6xcyfav/wSMTNmiC3LzgZ5yAelyEnPEVp/O5uaAEBsJ542cybm5OWJ1xDOsZlMYlty8oIFiEtNFdfSKvk90BLUaqwpKhLbjEMNKwiJiIjotnX06FG0tLQEexlupaWlTap2ZX5nIyIiCi3StmH5MaEaUKnRwNLYiK5Ll3Dl9Glcq6vDwu9/H0see8xttd20WbNwpaYGU6KiMNzfj/r/+i+xJdnTGqTkLcjxajViU1Iwf8MGTI2JQdMHH8BusSAtJwezb/2PtMI5zUePovaVV2D+8ksMdHejvb4ezUePYqi3F5aGBsSmpPhUzeepHdodT+8zmFhBSERERLctf1bmOasYPHbsmN+uT0RERDTehCq86j17UFdaioS5czHQ24urNTVo1utHVAICjsM4VNnZ+M7bb6NZr0fzkSO4+OGH6OvuxtyHHvJqWIe0kvFCRQUAiFOMhXs36HS4cfUq7li+3KEyr0Gnw5l9+zAlJgZToqJwx/LlmL9xIy5+9BG6Ll1C3/Xr0Dz6qM/VfMIwFmEtkwUDQiIiIiIiIiIi8ihl2TKxQi9dq3U6mdfZBOGlW7dCqdEgYto0TEtN9TpgE8K4OXl5WOhm4vGUiAjMysoaETj2dnZi2GKB+lvfQu7evWjW6zE8NHRzj8WLF2G3Wkes32YyoUGnA/C3SclSntqhvRVqU43ZYkxERETkB8KAEikOKhmJ39mIiIgmHqGld1F+PuY9/DBSV692mEgsHfThahiHMAAk+c47xbblpoqKEa260hbepIwMDNjtAID5GzY4DdKk7cbS68Sr1bA0NqK3sxPzN2zAvIcfRoxSCXN9Pa5fvIhBux0IC8Olkydx9uBBKDUaxKelofHAAdS88gqu1tQ4bT/2V5uwp8Es440BIREREZEfMCD0Dr+zERERTTyuQjFhurA07EtQq51OEJZf66vyctS88grCIyKQunq1+Lw0OJudm4vWTz9FXWnpiNd5WluvzYZeqxUzMzOxKD8fUYmJiEpMhGrVKlw4ehQ9ZjOSFyzAYH8/LHV16GxuxgW9HimZmUiYPRt3rFgxInT0J2fTnIOJLcZEREREREREROQz+R6FdosFWTt2OJ1U7MxQfz8uVVfDZjKJ1YHetvB6atFt0OlQV1qKJVu2ODyfoFZj3csvo7a4WJzAXFtcjO5r12A8dAgA8HBpqcN93LUcj5a3n9F4YUBIREREREREREQuBWK/vEX5+Wg3GNBWVQXd2rXIffFF3HmrjVganKXl5KDdYEBaTo7D+UIAKISSvlBlZ0OVne3wuK2qyiE0lN7n9P/7f+JjX+81UYQHewFERERERERERBS6hGEhzXr9iOdsJhMAYMmWLUjLycGZkhLYTCbYTCbxd2cS1GqsKSrCUF8fbM3NqH7hBaevMxsM6GpthdlgcLjnpepq9NlsMLz5Jj555pkR91mUn497tm/Hovx8r96jKjsba4qKYDYYHK5lt1ox0NOD4cFBh/u7e2/eviaUsIKQiIiIiIiIiIhcctf226zX40JFBRYWFMBsMIgTigG4nFYsrUjMffFFVL/wArKeesrrezfr9bhx+TLCpkxBR0MDzly5gqR58xzuI61EdNUmLK+MFIJQ+ZqnxsQgZeVKMWx0NqnZ2efi7bTmUMCAkIiIiIiIiIiIXHK3X548wLNbLLBbLEhesABxqalQajQjzpEHbD8+ftynewv3MlVW4tyBA1AuWeJ2z8JmvR51t/YVjFYoxOvJQzz5e7GZTOg4exZRiYmYnZvrsE9i05EjaD1xAg06ndO2Y2/3UgwVDAiJiIiIiIiIiGhU5JV67QYDrEYjkjIyYDUaUVtcjDiVyqHKLl2rRWtlJaxGI5r1ercVhs6q84R72i0WXKmuxryHH3a7N2K6Vgu7xSL+Lj0u/SkPI4VKxRnLl6Pz4kW8+4MfYOX27VBlZ2NWVhbaJW3P7j6XiWDKrl27dgV7Ef5gNpsxY8aMYC+DiIiIblNlZWUjjm3evHnc1xHq+J2NiIho8mo8cACmjz5CUkYGlhUWovP8eVz94gucO3wYSo0G8WlpAICoxESkZGYiMiEB6VotohITR1ynsbwcU2NjkbJiBWwmExoPHECMUunw2ni1GrEpKZi/YcOIa0hFJSYidfVqpK5ejajERPF6SRkZmJ2bKx6rff11tH76KeLVakQlJiJGqURkQgJiFArU/f73aP/ySwz09ODORx5BvFqN8IgIcR29NpvTNcrX7uw+oYABIREREZEfMCD0Dr+zERERTV5CoLb0Jz+BcvFipGRm4tzhw2j/8ktcqqpCr80mhmJRiYlIWbHCaUAWo1RiamysGB7Wvv46al55BeEREUhdvVp8nbtrtFVV4fizz2LarFliMCmQB5DCsZpXXsHl06dhNRqRkpmJBLUaKStWIF6txtDQEKbGxCBpwQIk33knEtRqtDc0wPjuu5gaGwvr+fMjrunsXsJ9Wk+eRHNFhUNwGkwMCImIiIj8gAGhd/idjYiIaPKSB3a9Nht62tvRa7Wi+/JltFRWoqOxEbNWrfJY8Sdcx2Yy4cvSUnS1tWFmZqZDQCgnrc47+z//g+YjR9B3/TrufOQRh9fJA0jhWHhEBIYHB9Fx7hza6+qQkpkphplzvvUtDNjtuPDBBxiw29He0AClRoPYlBSka7VIyshwuKZQOSh9jVCVGB4Rgc7z52FtbER/V9eI9QUDA0IiIiIiP2BA6B1+ZyMiIrp9NB44gAsffICM734XCA+H7cIF3DCbYWtqQkpmpldtuc16PdqOH8cdy5bh7v/7f90Gi0J13tWaGqSuWYM4lQrLCgtHVOg5qzwU2pBnrVqFS1VVuHz6NKZERzsEkkKwONDTg0adDp3nz2PpT36ChFtVkdJrClWP0QoF7v75z8Xjwn1mLFuG/q4up+sLBg4pISIiIiIiIiIiv5MOAVmUn48GnQ6Xq6vF4SQAHKYIC6TThaXXEAaRuBpiIh1Gsig/HwlqNWwmE86UlCBdq0VXWxtqi4uxrLAQquxsp2tOUKvFASR2qxVnSkqg1GhgNhiQrtVi6datsJlMuFxd7XaKsZTNZEKDTuewLlV2tss1BAMDQiIiIiIiIiIi8jv5JN+sHTscwj2B9HfpYyEAlE8DbtbrYSgrQ2tlJdYUFYkhYYJaLYZ1QjB4paYGX//P/8B6/jy6W1thPHQIANyGc4vy8xGtUMBusaCxvBytqamwGo0O95uZlQWziynGNpMJALBkyxYsys9Hs16PutJSAEC0QoF0rdbtlOZgCNkW45MnT+Kll17C4cOHMXfuXCiVSrevZ7sKERERBRNbjL3D72xERES3t16bDdbz55GUkSEOAZG3GsvbdeWTf5MyMnCtthZWoxGRCQn/v717j4uqzv84/uYaCCoCZqkgQpE1rteszB9pF8y1rKwU1FDXbrZbbjystP21RDxcqg22R2uPIjXSpX6FZhZd1odYVkh5yRZY8VYoBqgpjUSAXJT5/cHO2RkYEA2YUV7Pf/ScOXPOZ87jGNOHz+f7sRsKYrV37VoVrlypI9u2qfann+QbFKRRCxao/pdfNHz+fFksFoftzdJ/W5B7hoTIs0cPhU+erGP//rcOb98uz/+0HTuaoGyN899vvKFDX32lhupq1VVU6KIrr5RPYKAuHDlSl9x2m1EhaV3L0FEMXc1lKwhPnDih559/Xrt379bmzZs1ZMgQZ4cEAAAAAACAM9C8Hdi2fdhaGehon63i7GwVLFumhqoq1R0/rt4RERo+f75Kc3JUazYbFXu21wmLjlZZTo5qysvl37+/rrjnHru23oL09DavKf23AtJ6fkevNY9z5xtvqLGhQb4XXqhjeXn6qbBQPoGBdm3I1gpJa4ViWzF0FZetIBw8eLBOnDihpUuX6t5771WPHj3aPJ7fRgMAAGeigrB9+M4GAED3snftWu195x159uihfiNHtjpB2LNHDwWbTDqwYYNO1dfrwIYNRmWdb3CwjhUUqProUVUdPqyfCgvlP2CAPH19VfTBB/Ls0UNHvvlGea+8IncvLw249tqmKsDRo1Xx3XdqPHlSfSIj7SoNfYODdbK2VidPnFDP/wwZkewHpFj37V271m5QSl1lpV1FY/NJyP1Gj9bw+++Xu6en3D08dMntt9sNIrFWUV505ZV2E46dyWUrCI8fP66UlBQtWLBAQUFBzg4HAAAAAAAAZ8h2PcHWhotYq/GsVX1lAwaoqqxMUlNlXa+QEE1ITVVuQoLKd+1SQESEMXSkbMAABZtM+v7DD1V7/LhqKyrszjt8/nzlp6Up2GRqEdtPhYWqKCqSZL82YPOqvuZrIhakpxuVgj8VFhrrEjZfA7Hq0CFVHzmi8sJCuzUPjWvExjq9ctCqyxOE+fn5SklJUUZGhiSpsbFRiYmJ2rt3r7y9vbVkyRINGjRIzz77rMxms1JTU3XTTTdp0qRJXR0qAAAAAAAAfgXbVtzTtfVaE3HWqcHBJpO2paRIahocMi4pqUW7clVZmcoLC+UTECCfPn3kExBgl4gsLyw0jmmepLOuYbgnM1Nu7u52MVj/dJTUDDaZFGQyqfann4xJxtZhJLaxVRQVGcnM5p+z1mw22qNdYVBJlyYIly9frqysLPn6+hr7Nm7cqPr6emVmZiovL0/PPfecXn31Vf31r3/tytAAAAAAAADQiZon35qzTSb2v/pqbUtJ0Y6//U1e/v7yCQzUsHnz7BKLrZ1vT2amDm7YIKmp7be+pka+NsNvK0tKVGs2a2BUlA5s2KCKffsU9JvfOJya7KiisLywUPUVFfIJClL1kSMOj2teddj8c/oEBmrvO+8Yn8vZujRBGBoaqqVLl+qJJ54w9u3YsUNRUVGSpBEjRmjnzp1dGRIAAAAAAAC6gKPBHqfj5e8v/5AQHVi/XsEmk10VoO0QkT2ZmTq8bZtqjhxRxG236bLYWIVFRys3IUHmwkJt++tf5devn8oLC1Wxf7++X7dOwSaT3NzdFfSb3+iqJ55w2P5sTfT5Bgfrg+nT1ScyUpdMmSLFxhqVjrYJymCTSQXp6QqLjm7zswabTEZ7tCvolAThmjVrtGrVKrt9ycnJuvnmm1VaWmq3v6qqSv7+/sa2h4eHTp48KU9Pl10eEQAAAAAAAJ1sSEyMfAIDdWD9epV8+qm8/fzsEoRW1unBpxoaNHDcOA2JiTGSfJdMnarSnBw1VFUpPy1NVWVl8g4IkCT1ufRShU2a5HDtQdvW4mHz5umfv/udDnz8sco2b1ZAeLhdpaMkY9JxaU6OirKyVJaTY6xN6Ehrrc/O0ilZuGnTpmnatGntOtbf31/V1dXGdmNjI8lBAAAAAACAbs5aIRhsMsnbz0/D5883XrNN4FnX9JNklxysLCnR9+vWyScoSMFXXKHh8+erNCdHtRUVuviqq+yOta3oqywpUW5CgjHAZNi8eRo+f77qq6vVJzLSYYu0NcE4aOJEBURE6Kddu/T5woW6qNl1rLpFBeGZGDVqlDZt2qTJkycrLy9PkZGRzg4JAAAAAAAALqL/1Ve3qLLbk5mpgmXLdGD9el2fmmpMD7ZlHRQSfMUVGpeUJOm/k4tNc+faJe1sK/rK/3OM7YCR/ldfrdtXr9ahrVuVm5Cg4fPn28XUfD3E3IQEleXmNg1QcbDOoPUa+Wlp8u/f3+mDSpyeIIyOjlZubq5iY2NlsViUnJzs7JAAAAAAAADgBNb1BCU5rLyzVV9VpaN5eSrOzm51KrK1srDq0CHlp6WpfNcuBV9xhcPJwrZ/Wv9ue/3KkhJtWrhQ5sJCSfbtxc3XLxw+f74aqqub2pgdVByGRUerLCdHFUVFrcbflbo8QThw4ECtXr3a2HZ3d1fSf7K4AAAAAAAA6L6s6wlKanPC75CYGNVWVOj4vn2ttulapwUXrlyp795/X5aGBqOasFdISIvEXvMJycXZ2XaDSIqzs9XY0KBAk8mu3dl2/ULrcbVms+oqKtQ7IsJhkrNXSIjGJSUZ13c2p1cQAgAAAAAAAJJ91V9bibNeISEKCA/Xj9u2tTnow1qpd/Rf/5Knv7+R2CtIT1et2ayDGzZIkpEctCYNra+VDRigqrIyu3isf1qnFVtjrjWbtSczUwc3bNCgiRONScptfQZnVw5akSAEAAAAAACAS+gVEuJwPUFHHLUFOzrfuKQkY+hIaU6OsQ5h3+HDVV9TI9/gYON422Ejl8XG2lUQ2ib0CtLTlf/aa/p3erquT02VT2Cg9r7zji4aM0b+AwZoYFRUi6SlbcWipHa3UncFEoQAAAAAAAA457S3As+2nbfWbFb5rl1y9/JSxYEDOr57t75ft06X3nabJPukozVp5yjRV2s2y9LYKHNhofLT0owhKLVms45s367SnBy7xKJk34osqV2t1F2FBCEAAAAAAADOO4e2btX21FT1iYzUiAcf1LB581RZUmJUEF44YoT8+va1W0+wraRj8/bjwRMn6mi/fqr84QflvfaaRjz4oKSmhF+t2dxiXcJgk0myaTtuTyt1VyFBCAAAAAAAgPNOflqaDnz8sUq/+ELVZWXGcBLb4SCttfY2Ty5KMtqUI267zVhfMDchQXsyM3V4+3ZV7NunCampRiLSJzBQwSaT8T7T3LlGsjAsOrrdrdRdwSMxMTHR2UF0hPLycvXt29fZYQAAgG5q5cqVLfbNnTu3y+NwdXxnAwAAHa2ypER7166Vb3CwLujd29jvd/HFqikvl++FF6rmyBF59+qlfiNH6oLevY0/W7P5z3/W9++/r/KdO1VVWqqao0d1eMsWBUREaNQjjyh0woSm97u7q/TLL2VpaFCt2ayfDxyQ38UX69CWLQqLjtahLVtUsmmTvHr1UuXBgzqWn6/d//d/cvfy0oBrr+2K29MuVBACAAAAAADgnFWcna3ClStVvH69LrrqKmPoR/+rr9btq1fbDQex/Xvz6sHKkhJjcMiA//kfHdu5U969eqmiqEhBJpNRAWj7vuP79snd21v9r71WXj16qKKoSPlpaaooKlJZTo6Gz58v09y5OrB+vUo+/VS9w8O79N60FwlCAAAAAAAAnLPCoqNVlpOjstxclRcWthj60Xz6sHVtwOZrDRZnZxuDQy6+6ir59umjQRMnGq3C5YWFDq/v4eWlkAkTNCQmxlhr0JokLC8s1LB58xRsMsnbz0+XTJ2qE+XlLrHuoC0ShAAAAAAAADhnWdcVtFb/tZV8s51S3LyaMCw62hgcMjAqym4KcWuJxSExMfIJDDSOs77m37+/cW6paRJy82nIrsTNYrFYnB1ER9i9e7cuv/xyZ4cBAAC6qQkTJrTY9/nnn3d5HK6O72wAAKCztNU+7Ig16XfRmDGqOnRIw+fPb5HEs57TWkEYFh2tqkOHlJ+W5vD4jo6xq1BBCAAAAAAAgHNecXZ2q+3Djlir+4rXr9cPn34qSS0SfsY5Y2ONc+YmJKgoK0v11dUaPGmSkew7XfKvsqTEmGjc3hi7CglCAAAAAAAAnPNs24el01frWVuCg00mefn5afj8+ac9pyTjOL8BA+wSkrYJyrDoaLtrW5OD5bt2KfiKK1iDEAAAAAAAAOhotmsASu2vKHS0PqBtcrH5e63HV5aUqDg83FjPsNZs1qCJE43koO2192RmqjQ3VxeOGKFxSUmSmlqcXaXVmAQhAAAAAAAAzjuOqv/aqz3JxebTkYuyshQQEdHqtT28vBR46aUqzs7Wj3l5+u7dd1Wxf7+uW7LkjOPraO7ODgAAAAAAAADoaNYE3tlU6IVFR2vQxImqNZtVWVLSruMDIiJUvmuXchMSJMnu2gOjonTxVVfJ4uamve+8o8Nff636n3/W8X37zji2zkAFIQAAAAAAAGCjV0iIfAIDtfedd+QTGNhiTUFHgkwm1VdXq6KoSHsyM4339QoJUXlhoarKyhRkMumy2Fj5Bgfr+3XrHK576AwkCAEAAAAAAIBmrO3BwSaTMX241my2S/xZFWdn6+CGDRo0caIk6ci2bao+ckRSUyVh85bj4uxsjUtKcon1ByUShAAAAAAAAOjmHE08trYoF6Snq3zXLrl7eanu+HEd3LChRaLQNgFYnJ2tnw8elLuXl4JNJrvrVB06pPy0tDaTjc5AghAAAAAAAADdkjUxWGs26+CGDZJaDiUJi45WWU6OKoqKdEGfProsNla1ZrPdEBPbgSW2x5fm5Ki8sNA4f9mAAaooKjKGmbRnynJXIEEIAAAAAACAbsk6rXjQxIm6LDbW4cTjXiEhGpeUZFdhWFlSYlT/Na8+tD3emki0nj/YZFJ5YaFxHes5nI0EIQAAAAAAALol29Zga5tvW+3GVrbbBenpRiVgsMmk/LQ0DZ8/X8PmzTMSicEmk0pzclSak6MhMTHGeZ1dOWhFghAAAAAAAADdUvPEn/TkoVcqAAASnUlEQVTfqkKpfQk82yRjbkKCirKyJEn9r77abh3DnW+8IampatBVEoNWJAgBAAAAAACA/2g+cfh0rEnAypISefbsqV7h4bpk6tQW56w1m42/O6pSdCYShAAAAAAAAMB/OKoqbI/i7GyVfPqpGhsa9P26deo3cqRdi/JVjz1mHGvbluwK1YQkCAEAAAAAAIBfyVoleHjbNlUUFak4O7vV5N+ZVil2NhKEAAAAHaBfv3768ccf7bYBAABw/mmtPdhaJWj7emvOtkqxs7g7OwAAAIDzwc8//9zmNgAAAM4P1iEmxdnZDl+3Jv/aWluwsqREBenpqiwp6awwzwgVhAAAAB0gODhYpaWldtsAAAA4/3REe/CZTkrubCQIAQAAOsDhw4fb3AYAAMD5wbY9+GynEbvaGoS0GAMAAHSAxsbGNrcBAABw/jldu/G5ggpCAACADmCxWNrcBgAAwPnHUSVge6oKaTEGAAA4D7m5udklBd3c3JwYDQAAALqCo2nEtsm/sOhoh8lCV2sxJkEIAADQAXx9fVVTU2O3DQAAgO7HmvQLNpmUm5CgiqIiSfaVgo4Si87EGoQAAAAdwDY56GgbAAAA3YM1+VdeWKiKoiIFREQo2GRSQXq6KktKnB2eQ1QQAgAAAAAAAB3Mto3Y1dYcbI4EIQAAQAcYP368vvjiC2N7woQJzgsGAAAATmfbRuxqaw42R4sxAABAB4iLi7Pbvueee5wUCQAAAFyNNVnY2lRjZyNBCAAA0AGysrKMycVubm768MMPnRwRAAAAXFllSYnLrEvosgnCnTt3auHChVq0aJHKy8udHQ4AAECbNm7cKIvFIkmyWCzKzs52ckQAAABwZdZ1CYtd4HujyyYI6+rq9PTTT2v8+PHKy8tzdjgAAABtuummm+Tp2bS8s6enp6JddH0ZAAAAuIaw6GhdFhvrEusSumyCcPTo0fr++++Vnp6uyy+/3NnhAAAAtGnOnDlyd2/6auXh4aHZs2c7OSIAAAC4Mldal9BlE4QFBQUaOnSoli9frjfffNPZ4QAAALQpKChIkyZNkpubmyZNmqSgoCBnhwQAAAC0i2dXXzA/P18pKSnKyMiQJDU2NioxMVF79+6Vt7e3lixZokGDBqm6ulp/+tOfZLFYWkwFBAAAcEVz5sxRcXEx1YMAAAA4p3RpgnD58uXKysqSr6+vsW/jxo2qr69XZmam8vLy9Nxzz+nVV1/V2LFjNXbs2K4MDwAA4FcJCgrS3//+d2eHAQAAAJyRLk0QhoaGaunSpXriiSeMfTt27FBUVJQkacSIEdq5c+dZnbuurk67d+/ukDgBAADQfp6enrr00kvbdSzf2QAAAJynte9tnZIgXLNmjVatWmW3Lzk5WTfffLNKS0vt9ldVVcnf39/Y9vDw0MmTJ40pgO01YsSIsw8YAAAAXYLvbAAAAK6nUxKE06ZN07Rp09p1rL+/v6qrq43txsbGM04OAgAAAAAAADg7Tp9iPGrUKH355ZeSpLy8PEVGRjo5IgAAAAAAAKD7cHqpXnR0tHJzcxUbGyuLxaLk5GRnhwQAAAAAAAB0G24Wi8Xi7CAAAAAAAAAAOIfTW4wBAAAAAAAAOA8JQrRq69atio+Pt9uXkpKi995777Tv/fLLL7V48eJ2X+vFF1/UnXfeqZUrV+rll1+WJGVnZ+vHH388s6CBLrR161aNHTtWcXFxiouL05133qkFCxaovr5eu3fvNp5lR9577z2lpKS02L99+3bt2bOnxf6hQ4ca14mLi1NiYqKOHTumxMTENt8HuLKSkhI98sgjiouLU2xsrBITE1VVVXXW5ysoKNAtt9yi1NRUxcfHq76+XocOHdJnn33WgVHjXJGdna2FCxc6fG316tW68847NX36dG3atKmLIzu/1NbW6pFHHtHMmTN1//33y2w2tzhmyZIluvPOO42fYb/88osTIj23NTY2KiEhQTExMYqLi9PBgwftXv/ss8901113KSYmRqtXr3ZSlOeX093zN954Q7fccovxXO/fv99JkZ5f8vPzFRcX12I/z3jnaO1+83x3vIaGBj3++OOaOXOm7r77bn366ad2r7vCM+70NQgBSfrkk0+0bt06+fv7G/v+8Y9/KDExUf369XNiZEDbrrnmGr344ovG9sKFC/XZZ59p0qRJuvzyy8/4fGvXrtXkyZM1ZMgQu/29e/dWRkZGi+OtCcLW3ge4qtraWv3+97/XkiVLNHz4cEnSunXrtHDhQr322mtndc7NmzcrNjbW7ovuli1btH//ft1www0dEjfODUuWLNHmzZsd/nf42LFjysjI0Nq1a1VXV6eZM2dq3Lhx8vb2dkKk5763335bkZGReuSRR/Txxx/rlVde0VNPPWV3TGFhoVasWKHAwEAnRXnu27hxo+rr65WZmam8vDw999xzevXVVyU1/U/ns88+q3fffVe+vr6aMWOGrr/+evXt29fJUZ/b2rrnUtNz/fzzz2vo0KFOjPL8snz5cmVlZcnX19duP89452jtfks8350hKytLAQEBeuGFF3T8+HFNnTpVN954oyTXecapIMRZue+++/TQQw9pypQpxg/KoqIixcTEaO7cuXr77beNY//5z38qJiZGM2bMMCqmli5dqnnz5ik2NlYvv/yyjhw5ogcffFBffPGF4uPj9fnnn2v37t1atGiR6uvrnfIZgTNVX1+vo0ePqnfv3nYVuGvWrNEdd9yhOXPm6L777jOqcPPz8zVv3jzdcccdyszM1M6dO5WTk6MXXnhBhw4dOu31SktLNX369DN+H+AKPv/8c40ZM8ZIDkrS1KlTdezYMQ0ZMkQ1NTWSpBUrVmjlypU6fPiw7rvvPsXFxem+++7T4cOHVVpaqilTpiguLk7Lly/Xu+++qzfffFPZ2dm64YYbVFNTo2XLlumjjz5q8VtanN9GjRpl/AKluYKCAo0cOVLe3t7q2bOnQkNDqcD+FXbs2KGoqChJ0nXXXaevv/7a7vXGxkYdPHhQCQkJio2N1bvvvuuMMM95tvd5xIgR2rlzp/FaUVGRQkND1bt3b3l7e2v06NH65ptvnBXqeaOtey41JVCWLVumGTNmnPUvtmAvNDRUS5cubbGfZ7xztHa/JZ7vzjBp0iT98Y9/NLY9PDyMv7vKM04FIc6Ym5ubDh06pKysLNXX1ysqKkoPPfSQXnrpJS1YsEDjxo3TsmXLtH//flVUVGjp0qVau3atfH199fjjjys3N1eSFB4ebvyG+b333lN6erry8vIkSRMmTNDll1+uxMREfqMPl7ZlyxbFxcXpp59+kru7u6ZPn66xY8dq69atkiSz2awVK1bo/fffl7e3t2bPnm2819PTU6+//rrKysr0wAMP6JNPPlFUVJQmT56s/v37213n559/tquKWrRokQICAiQ1tR+39j7AVZWUlCg0NLTF/rCwMHl4eGjDhg2644479Mknn+j111/XM888o7i4OI0fP15ff/21UlJSFB8fr2PHjmnt2rXy9vZWbW2tgoODFR0drWeffVYeHh564IEHtH//fuM3tDi/rFmzRqtWrbLbl5ycrMmTJxv/HW6uqqpKPXv2NLb9/Px+VWt7d+LofgcFBRn308/Pr0X7cE1Nje655x797ne/06lTpzR79mwNHTqUivczVFVVZddp4+HhoZMnT8rT05NnupO0dc8l6ZZbbtHMmTPl7++vhx9+WJs2bdL111/vrHDPCzfffLNKS0tb7OcZ7xyt3W+J57sz+Pn5SWp6nhcsWKBHH33UeM1VnnEShGiVj49Pi+q9mpoaXXDBBYqMjJSnp6c8PT3l4+MjSfruu+80bNgwSU2/ud+/f79++OEHmc1mPfDAA5Kk6upqlZSUSJIGDx7chZ8G6BzWFuPjx49r3rx5GjhwoN3rP/zwgyIiIozS/ZEjRxqvXXHFFXJzc1Pfvn1VW1vb5nUctRi39gMdOBf069dPBQUFLfYXFxcrJSVFSUlJCg8PV1hYmPr06aN9+/bptdde04oVK2SxWOTl5SVJGjhwIL9I6samTZumadOmndF7/P39VV1dbWxXV1fbfSlH6xzd74cffti4n9XV1erVq5fd676+vpo9e7bxc/Caa67Rnj17SBCeoebPbWNjo5Go4pnuHG3dc4vFojlz5hj3efz48dq1axcJlE7CM961eL47z+HDh/WHP/xBM2fO1JQpU4z9rvKM02KMVkVERGj37t06evSoJKmurk7bt29XdXW13NzcWhwfHh6uf/3rX5JklOAPHDhQF198sdLT05WRkaF77rnHaCdzd2/78XNzc5PFYunIjwR0mj59+uiFF17QU089ZfybkZpK9/fv36/a2lo1NjbaJUQc/Ts62+eefy8419x444366quv7P5NrFmzRoGBgQoPD5fFYtGKFSuMZER4eLgee+wxZWRk6JlnntHNN98s6fQ/S9zd3dXY2Nh5HwTnnGHDhmnHjh2qq6vTL7/8oqKiIkVGRjo7rHPWqFGj9MUXX0hqGlI3evRou9eLi4s1c+ZMnTp1Sg0NDfr2229lMpmcEeo5bdSoUfryyy8lSXl5eXbPbEREhA4ePKiKigrV19frm2++sfuFJM5OW/e8qqpKt956q6qrq2WxWLR161bWautEPONdi+e7c5SXl2vevHl6/PHHdffdd9u95irPOBWEaJW/v78WL16sBx98UD4+PmpoaFBcXJxCQ0P11VdftTj+6aefVnx8vF5//XUFBgbqggsuUGBgoObOnau4uDidOnVKAwYM0G9/+9t2XX/kyJF64oknlJ6ebrRSAq7skksuUVxcnJYsWaJZs2ZJkgIDA3X//fdr5syZCggIUF1dnTw9PXXy5EmH5xg+fLhSUlI0cOBARUREtPvaZ/s+wFn8/PyUlpam5ORkVVRU6NSpU7rsssv0t7/9TZJ0991366WXXtI111wjqamtPjExUXV1daqtrdX//u//tus6kZGRevXVV2UymXTLLbd02ueB63vjjTcUGhqqG2+8UXFxcZo5c6YsFovi4+N1wQUXODu8c9aMGTO0aNEizZgxQ15eXkpNTZVkf7+nTJmi6dOny8vLS7fffrsuvfRSJ0d97omOjlZubq5iY2NlsViUnJysDz/8UDU1NYqJidHixYt17733ymKx6K677mLIXwc43T2Pj4/X7Nmz5e3trbFjx2r8+PHODvm8wzPetXi+O1daWpoqKyv1yiuv6JVXXpHUVJl/4sQJl3nG3SyUnABApzl58qSWL1+uhx56SJI0a9YsPfrooxozZoyTIwMAAAAAoAkVhADQiTw9PXXixAlNnTpVXl5eGjZsmK688kpnhwUAAAAAgIEKQgAAAAAAAKAbY0gJAAAAAAAA0I2RIAQAAAAAAAC6MRKEAAAAAAAAQDdGghAAOtjWrVt12WWX6ZNPPrHbP2XKFC1evPi076+rq9MNN9zQ5vnj4+N/dZwAAAAAAEgkCAGgU4SHh+ujjz4ytvfu3asTJ044MSIAAAAAABzzdHYAAHA+GjJkiIqLi1VZWalevXopKytLU6ZM0eHDh5WVlaVVq1bJ29tbYWFhSkpKUn19vR577DFVVlYqNDTUOM/evXu1ZMkSSVJAQICSk5Od9ZEAAAC6rbfeekvffvutUlNTtWjRIg0bNkyzZs1ydlgA0GGoIASAThIdHa3s7GxZLBYVFBRo5MiRqqio0NKlS7Vq1Sq9/fbb6tmzpzIzM7Vu3TpFRkbqrbfeUmxsrHGOP//5z3r66aeVkZGh6667TitWrHDiJwIAAOieZs2apRMnTmjx4sVqaGggOQjgvEMFIQB0kilTpigxMVEhISG68sorJUmNjY265JJL5O/vL0kaM2aMNm/eLEmKioqSJA0fPlyenk3/eS4qKtIzzzwjSWpoaNDgwYO7+mMAAABA0gMPPKCYmBi99957zg4FADocFYQA0ElCQkJUU1OjjIwM3XbbbZIkNzc3FRUVqaamRpK0bds2DR48WOHh4crLy5Mk7dq1SydPnpQkDR48WM8//7wyMjL0+OOPa/z48c75MAAAAN1YfX29kpOTlZSUpMTERNXX1zs7JADoUFQQAkAnmjx5sj744AMNHjxYJSUl6tOnj2699VbNnj1b7u7uCg0N1WOPPSYPDw89+eSTmjFjhsLDw+Xl5SVJSkxM1KJFi3Tq1ClJ0l/+8hcdPXrUmR8JAACg20lJSdGECRMUExOjo0ePKjU1VU8++aSzwwKADuNmsVgszg4CAAAAAAAAgHPQYgwAAAAAAAB0YyQIAQAAAAAAgG6MBCEAAAAAAADQjZEgBAAAAAAAALoxEoQAAAAAAABAN0aCEAAAAAAAAOjGSBACAAAAAAAA3RgJQgAAAAAAAKAb+3/pz3deJXcOEAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1296x504 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(ncols=2, figsize=(18, 7), sharey=True)\n",
    "\n",
    "sns.boxplot(x='Model', y='Error', hue='Data', data=result, ax=axes[0], linewidth=2)\n",
    "axes[0].set_title('In- vs Out-of-Sample Errors')\n",
    "axes[0].axhline(0, ls='--', lw=1, color='k')\n",
    "axes[0].set_ylabel('Symmetric Log Scale')\n",
    "\n",
    "for model in colors.keys():\n",
    "    (test_data[(test_data['Model'] == model)]\n",
    "     .plot.scatter(x='x',\n",
    "                   y='y',\n",
    "                   ax=axes[1],\n",
    "                   s=2,\n",
    "                   color=colors[model],\n",
    "                   alpha=.5,\n",
    "                   label=model))\n",
    "\n",
    "# pd.Series(y['Train'], index=X['Train']).sort_index().plot(ax=axes[1], title='Out-of-sample Predictions')\n",
    "pd.DataFrame(dict(x=X['Train'], y=y['Train_noise'])).plot.scatter(x='x', y='y', ax=axes[1], c='k', s=1)\n",
    "pd.Series(y['Test'], index=X['Test']).plot(color='black', lw=5, ls='--', ax=axes[1], label='Actuals')\n",
    "\n",
    "axes[0].set_yscale('symlog')\n",
    "axes[1].set_title('Out-of-Sample Predictions')\n",
    "axes[1].legend()\n",
    "axes[0].grid(False)\n",
    "axes[1].grid(False)\n",
    "sns.despine()\n",
    "fig.tight_layout()\n",
    "fig.suptitle('Bias - Variance Tradeoff: Under vs. Overfitting', fontsize=16)\n",
    "fig.subplots_adjust(top=0.9)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Learning Curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-17T18:00:32.166688Z",
     "start_time": "2020-06-17T18:00:32.161878Z"
    }
   },
   "outputs": [],
   "source": [
    "def folds(train, test, nfolds):\n",
    "    shuffle(train)\n",
    "    shuffle(test)\n",
    "    \n",
    "    steps = (np.array([len(train), len(test)]) / nfolds).astype(int)\n",
    "    for fold in range(nfolds):\n",
    "        i, j = fold * steps\n",
    "        yield train[i:i + steps[0]], test[j: j+steps[1]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-17T18:00:32.181291Z",
     "start_time": "2020-06-17T18:00:32.168178Z"
    }
   },
   "outputs": [],
   "source": [
    "def rmse(y, x, model):\n",
    "    return np.sqrt(mean_squared_error(y_true=y, y_pred=model.predict(x)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-17T18:00:32.189313Z",
     "start_time": "2020-06-17T18:00:32.183215Z"
    }
   },
   "outputs": [],
   "source": [
    "def create_poly_data(data, degree):\n",
    "    return np.hstack((data.reshape(-1, 1) ** i) for i in range(degree + 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-17T18:00:35.609312Z",
     "start_time": "2020-06-17T18:00:32.190907Z"
    }
   },
   "outputs": [],
   "source": [
    "train_set = X['Train'] + normal(scale=np.std(f(X['Train']))) * .2\n",
    "test_set =  X['Test'].copy()  \n",
    "\n",
    "sample_sizes = np.arange(.1, 1.0, .01)\n",
    "indices = ([len(train_set), len(test_set)] *\n",
    "           sample_sizes.reshape(-1, 1)).astype(int)\n",
    "result = []\n",
    "lr = LinearRegression()\n",
    "for label, degree in models.items():\n",
    "    model_train = create_poly_data(train_set, degree)\n",
    "    model_test = create_poly_data(test_set, degree)\n",
    "    for train_idx, test_idx in indices:\n",
    "        train = model_train[:train_idx]\n",
    "        test = model_test[:test_idx]\n",
    "        train_rmse, test_rmse = [], []\n",
    "        for x_train, x_test in folds(train, test, 5):\n",
    "            y_train, y_test = f(x_train[:, 1]), f(x_test[:, 1])\n",
    "            lr.fit(X=x_train, y=y_train)\n",
    "            train_rmse.append(rmse(y=y_train, x=x_train, model=lr))\n",
    "            test_rmse.append(rmse(y=y_test, x=x_test, model=lr))\n",
    "        result.append([label, train_idx,\n",
    "                       np.mean(train_rmse), np.std(train_rmse),\n",
    "                       np.mean(test_rmse), np.std(test_rmse)])\n",
    "\n",
    "result = (pd.DataFrame(result,\n",
    "                       columns=['Model', 'Train Size',\n",
    "                                'Train RMSE', 'Train RMSE STD',\n",
    "                                'Test RMSE', 'Test RMSE STD'])\n",
    "          .set_index(['Model', 'Train Size']))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-17T18:00:37.144962Z",
     "start_time": "2020-06-17T18:00:35.610554Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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hTEM8qUjCUDSRUjSZUiy9nkgpkkgp6hwzFIlbIU5dzAp0Wmvk4P2RhCLxVNcLeJ588kldccUVkqT3339fgwcPliT94he/0Pe///1PfeNRo0Zp5cqVGjdunEzT1D333POprwkAAAAAAA7MMEzVxZLaH7EqYfZHE9ofSaghnrJf6QqYpBpijfsyl/V2ABOOJRVNGG3W1mK/R6GAV6GgV6X2MhTwKhTwqSTgUbHfqxK/R0V+j0oCXhX7rX3WsnG9ZyigIr+nzdrZ3loMeJ5++mkn4Jk5c6YeffRRSdK//vWvw75Z3759tXTpUkmS2+3WjBkzDvtaAAAAAAB0FYZhKpKwgpZI3Ape6mMZQUxG+OLsj1vdk+qiyawQp86ujmlNbpdUEkgHL16VBLwqDXpV4rfWSwIeBX0eBb1uBf0eBb32ts+tIp+1HrDXi/welQZ91nX8Hnk9eRs+uKC1GPBkzp7e0joAAAAAAGgqZZgKx5JOlUtz48c0bluBS8QOaCJOFU3KDnXapkImFPCqW9Cr0qBP3YqsZYkdqjgVMAGPSvxeqzompyqmJOBxqmmKfB65XK5WbyMOXosBT+YfTEvrAAAAAAAUEtM0lTRMxZOGEilD8aShmPOyxoKJJVPWdiK9NJxxYyKJ7K5J9XZ4U29XzqQH/o0kUq3e9qDPrWK/FaY4XZMCHhX5vFldlYrtbkpWt6XsEKdb0KduQZ9CQa88bn6+70xaDHj27t2rlStXyjAM7du3T//4xz9kmqb27duXz/YBAAAA6GBM05RpSqYkwzSVTJlKGIaSKVPJlKGEYS9TplKGqUTKUNLelyn7d8euJvtM07q+YZgyTOu+KdNaN0zT2jasdZckr8clt8slr9stt1vyut3yuNVkn2FabUqk0sv0D/qmkoa9nTQVTxky7B4M6Y4M6R4NZkYbcz+TS9Yvxt3Wir1ttcPlnONKf+SDsnNHnd5t2Ca3/Xlc9rXc9n1cGcvMP6fMtjbX3ty2O+vOvsad7vRnsJced+N6bjtShvX1S6aafq2TqfQxa3/SMJUyDKUMWUs7gDGMnKVpWudnfI9Z33uZ65n3NBTP+LNMJA3F7P356JjickklfqubUihj3JjSjPFjMseUKQl4VeyzqmOKMipoivweq9uSzyM3gQw+QYsBz4knnqhnnnlGknTCCSfo2WefddYBAACAzsIKCawfIJOGqZT9Q6KzzwknrB/+rcAi/Z7M86wfUq0fVtPbjT+8OvvtZe6x9A+xptkYAFg/MGf8QO/K+CFb1g/uWVUGuRUIicZ98aQhw7R+8DYzQhIjc93IDE/spf01SgcsBiM2tKM97d2ATsPjdsnvccvnccnv9cjvcdljwHgU8Lqtlz1eTHpf0OdWwGuNGVMSsIKZzDFn0iFNeptABvnWYsBz7733Zm3v379fbrdboVCozRsFAACAwmDYv6WP290c0t0d4knD+e19VkjSTGDiLJ192eekDOu39elKkPQys9oinkxXiWT8tj6jeiB9zczf9CeN9PtJLA5XumLD63bJ53HL67EqZXwel7wel3xutzxul7z2D9Jet8upCMka5zO9zPijMNUYZnkyqkbSFSzpipF0+CU1hmbpqiIjoxIkZTaGblabrDb7PG757ban1632W8c8brvaRo0VLs1VtzjtdkIxyVQ6GLM+kZkRnh3Kd51pSnv37VVZt7KsQM7MWaZDuANVRjUXOTRf5WNm7UtXbBmm7DDQzLqvkdEOj0vW19Prdr4/fPbX1vpecctvf529HuvP2Ot2ye3OWdr7PfY+n9v+PvO45XM3vj+932d/D3o9VoDj97qddvg8VnBj/bkSvKDzaTHgWbdunW677Tb96U9/0ssvv6zp06ertLRUU6dO1ciRI/PZRgAAgC7PNE3FkoaiCWvAzYg98GY0kVIkbo0JEUmkFLX3x5NGVlDSXCVJIl1xkmoMRNLdKGLJxm4riWT2vkg8oZS52blHZ+B2yfmh0Gv/0Ohxu+Rzu+TJCSrSP2z6PNbSmz7m7M/eTncbSu9Pv7wZS7ez7XYqc8ycKhonGDAzQwPZVQXujMoDj1NpEEgf83rk97obgxK3FY547HDEndHNxuXO6PYj6/zMbjhOFyPG5syr9evXa+jQoe3dDAAdWIsBz09/+lPNnj1bPp9PP/vZz/TQQw/pmGOO0f/8z/8Q8AAAgE4lXYUStbu5RBONXVzSy8wqkcaxHdLjjFjBSDyZOZaHdTyRW9mScTyRW12S0e0nPc6E022oAwcpjb8ld8nvtdb9zm/rM0KTnAAla5m1r3HbZ4ceue9LVwJY1QF2VYDXLV/OeroqI31dX+597fCGbhQAgEL3idOkH3/88dq1a5cikYiGDRsmSXK7mX8eAADkj2GYqo8n1RC3Zi2pj6Xs7aTCsZQaYknVp4/Fk/aYI00DmsxlZpATs7sTFQKfx2UNtGkPuBn0pQfizNi29/ntLhCZVSIeT2OViDeniiQdyqS7MVhdGlxZXRvSoc2mjR9o2AnHWwGLx00lBwAAHUCLAY9hWP/Qee2113T22WdLkuLxuOrr6/PTMgAA0GGkQ5a6aPqVUF00qf32si5qBS7NDfaaOchreqrZuD1WimHIHqTWnjnFHuA181i+Clf8XrczmGbmQJpBu5uLU5HitapK0uvp8Toyx5fIHfOh6TgQLmcciOYqSrzu7IqTdBDTUYKU2qBHoUCL/4wEAADtoMW/mc8++2yNGzdOO3fu1Pz587VlyxZNnz5dF110UT7bBwBAl5ZMGYqmx12Jp5wKlMaxV1KKJo2srkHOVLTJpt2I0l2G0t2B4i2sp68VTRjaH00oHEvmZUrZlhT7PSoJeFViTxsbCnhVHPCoxO9VScDal14GWwhogs4sKI3LzPCGLjoAAKCQtRjwfPe739UFF1ygiooKlZeXa8uWLfr617+uUaNG5bN9AAAUDMMwFU2m1BBPqSGWUkMi2bgeTyqSSCkcSyocTao+llRdet2ujKmPJZ0QVwuTAAAgAElEQVTj4Zh1fkea3afE71Fp0KfSoNd++Zxlt6DXDleaDvZqbWev+zK6Dnnc1uwpmYPP5u7vKJUrAAAAHVWLAc+///1vSVJNTY2zr3v37vr3v/+t008/ve1bBgDApxRPGk5o0jg2S3qg25TTVSjdnShudyOKJ43scVsyB961uxxFM8Z0icRTqo9ZMxe1NpdLCnqtMVWCXreCfk/jts+tIp/HCVN8brd83sZpfnOnAG6c9rexC5HX3TjOiq9JVyMrrOkW9CkU9DKlLAAAQAfWYsAzfvx49e/fXyeddJIka9BlyZoOkYAHANAWTNN0qlzqYyknnEkPpmsNsJveZ5338e5qed4IZ1XDhKNWdUx7DJwb9LlV7PeqyOdRScCjIr9XxT57EFy/NW5JKOBVKOh11kvs7dL0uv0q8lvBDdUrAAAAOJAWA54nn3xSzzzzjNatW6ezzjpLl156qfr165fPtgEAOqh40nAG1E1PJ509vbQ1LkzMXkbi6W5HKYVj1ngudXY3pPpYYyBTH0se5oC6zU8A4HW7FAp6VWKP2ZIea8VZej3OlM4BZ2ntyxzDpbmxXJx1b/YsRozjAgAAgPbQYsBz4okn6sQTT5Rpmnr99dc1f/58VVVVaeTIkRo3blzeGrhmzRotW7ZM4XBYEydO1AknnJC3ewNAZ5EyTDXY00xbr8b1SNyqlmlIWBUyddGEE7jURdPhS8IZF2Z/tG0rY4I+t1PVkh5AtyRd2eK392fs21+9S8cNHKCSgDUuTGZ1DNUvAAAA6CoOOL+ly+XSKaecourqaj311FP605/+lNeAZ926dfrwww8lSUcddVTe7gsAHYVpmkqkzMaxXxIp7YsktC+SUG1DXHsbEtrbEFdtQ8JZ32sf29dgVcvEWjmQ8bpdKvZ7rNmI7CqWrJmJ0gPq2tUuRT6ra1JuAFMabOySVBrwqSTgkdfjPqS2rF/foKFDe7Xq5wMAAAAKTYsBTyKR0KuvvqpnnnlGmzZt0siRI3Xbbbdp4MCBbdqghQsXatWqVZKk4cOH65xzztEVV1yh119/Xa+88oq++tWvtun9AaC1pAxT++0gZm962RDX/ogVxGTu3xdJWF2c7MF7M5exZOowuy01crlkjQMT8DpdiUpy1tPjw5Smx4MJ+pwQptQJZKxZk6iMAQAAADqWFgOez3/+8zryyCN18cUXa+zYsXK5XNq+fbu2b9+uL3zhC23WoAkTJmjChAnO9g033KCf/OQnqqiocCp5ACCfGuJJVYfjqgrHVFMf175Iwg5uktofTTjb1nrSWa+LJlutDV63K6sypjToVXmxX92LfepuL8uLfepeZK+X+NW9yKeyYp+6BX0EMgAAAEAn12LAc8EFF8jlcmnr1q3aunVr1rHDDXjefvtt3X///Vq0aJEMw9D06dO1YcMG+f1+3X333RowYECT91x88cW65ZZb5PP5dMsttxzWfQHANE3FMqbMDmfMuLQ/klRVOKbq+riqwzErzMlY/zRTX3cLelVmBy9lduBSVuSzwpcin7rb292KfCr2e50uTpnLgNd9yN2WAAAAAHQtLjM9//lB2rBhg4477rhDvtHDDz+s5cuXq6ioSEuXLtWKFSv00ksvafbs2aqsrNSCBQs0f/78Q75ursrKSgUCgU99HeBwRKNRBYPB9m5GpxdPGdoXNbQvmtLeaEr77Je1bu2vi6XUkDTVEDcUSRpqiBtKHWY3J5/bpfIij8qCHpUF3Qr5PSr1u1Viv0oD1jLk9yjkT6+7Vexzy8OMSm2O5w7IP547IP947oD866jP3dChQ5vd32IFz2uvvab77rtPZWVluvfee9W7d2/NnTtXzz33nP7+978fcgP69++vefPmOVU4q1ev1ogRIyRZY+2sXbv2kK/ZnEAg0OKHBdra+vXr+f77BOkxaWoa4tagwPUJ1cUSqo+lFEnP7pRIqiFmz+6UsGd6iln790eSqqmPKxw7vK5PPo/LmZ0pFGgc7Lc06FOPEr96hvzqEQqoR4m1TG+X+D10b+rAeO6A/OO5A/KP5w7Iv0J77loMeH7yk5/owQcf1Pbt2/XAAw+ourpavXv31tNPP31YNxo9erS2bdvmbIfDYYVCIWfb4/EomUzK6z3gxF4AOoCUYTqzONXWx1VTH1dtQ1w19Ql7GXdmdqq1j+2NJHRoNYPN87pd6hHyq6IkHcb4VVHid4KZihK/yov9WSFOScCjgNfz6W8OAAAAAB1Qi2lKt27dNHDgQA0cOFC33XabJk2apP/3//5fq904FAqpvr7e2TYMg3AH6ACSKUM790e1vTai7Xsj+nhvRNv3RlUVjllBjh3oHG5Y0y3oVUWJX92LrVCmNGjN5FTst2d08nuyZnuyZnmyAppQwKseoYC6Bb1U1AAAAABAhhYTFbe7cUDP3r17t2q4I0mnnnqqXn75ZY0ZM0aVlZUaMmRIq14fgGQYpiKJlPWKW8uGeLo7VLJpkFMb0c790YOekrusyGdXy/icqpnyEr+zLx3ilBf7VF5sDTLMYMEAAAAA0PpaDHgikYg2bdokwzBkGIY2bdqk9HjMAwcO/NQ3HjVqlFauXKlx48bJNE3dc889n/qaQFdRH0tqa22DtlQ3aEtNg7bWWMvteyMKR5NOkBNLGod8bZdL6tUtoD7di3R09yL1KS9Sn+5FOrI0oPJ0YGNPwU1YAwAAAAAdQ4sBTzAY1B133CHJGrg4ve5yufToo48e1s369u2rpUuXSrIqhGbMmHFY1wE6I9M0FY4ltT+a1L6GhPZHE9pvj3GzrTaiLTWNYU5VOH7Q1y3yWd2cgvayyO9Rkc9a9ioNOiHO0d2D6tu9WEeVBeX3EtwAAAAAQCFpMeBZtGhRPtsBdFoN8aS21kS0taZBW2sbtLUmop37I9oXSWhfJKH9kaQT5hxs1yi/161+5UXqX1Gs/hXF6mcv+5YXq1uRV8V+r4p8HgV9bsaqAQAAAIAugFGNgU/BNE3tjyS1JxzVjn1R/eu9/Vq++b92mBPRtpoGVdcffLVNid+jbkU+dQv61K3Iq7Iin7oV+dS3vNgJc/pXFOvI0oDcboIbAAAAAICFgAdoRiJlqCoc0+79Me2pi2l3XXoZzdreE44p3mScm6qsLb/Hrb7lRepbUax+5UXqV1Gso7sXqbzYCnLSIU5p0CsfY9oAAAAAAA7DAQOejz/+OPsNXq/Ky8vl8/narFFAW0mmDO2ui2nX/qh218W0217ucpYx7amLqro+ftBTgIcCXh1RGtCRpQF1c8c1bODR6ldhBTn9yqm2AQAAAAC0vQMGPNdee6127dqlgQMHatOmTSoqKlIymdTNN9+syy67LB9tBA6aaZqqqY9bgxHXWuPebKm2xr7ZUtOgHfuiSh3EQDcul9QzZIU2R3azllaIE9QRzrq1LPY3Pkbr16/X0KGD2/IjAgAAAADQxAEDnr59++r3v/+9KioqtG/fPt1+++2aOXOmrrnmGgIe5FVDPKmquriq6mOqqoupKhxXVTimqnBMH++Napsd4jTEUy1ew+WSjiwNqFe3oHp1C+iI0qCznQ5zenULqkeJnynAAQAAAAAF44ABT3V1tSoqKiRJZWVlqqqqUvfu3eV288MvWt/u/VH9e1OtVm+u1dbaBlWFY6q2g5xPCm4ylQa9GtDD6h7Vv6JYfdMzTZVb04EHvJ42/hQAAAAAAOTXAQOeE088UTfeeKOGDx+ut956S0OHDtVzzz2nHj165KN96MRM09SHe8L696Za/XtTjf6zqVZbahpaPN/vdeuIUEA9Q371DAXUw172DAV0VFnQDnGKVVbM+FAAAAAAgK7lgAHPXXfdpRdffFEbN27U5ZdfrvPOO08bN27UF7/4xXy0D51ILJnS2u379Z9NNXaVTo1qGxJZ55T4PTp1QLlOP6ZCg48MqWdpwA5x/AoFvHK5GKwYAAAAAIBcBwx4wuGw/vOf/+iDDz7Qnj179NnPflaDBg3KR9vQwdXHkvpwT1jV4bhqG+La25DQ3khCe+312oa49kUSzrG6aLLJNY4sDej0gRU6fUC5PndMhY4/qpSxbwAAAAAAOEQHDHhuvfVWnX766frKV76if/3rX5o2bZp+/etf56Nt6CCSKUObqhu0YWedNuzcr/U767RhZ90ndqdqjsslHXtESKcfU6HTj7GqdPqWF1GVAwAAAADAp3TAgKe2tlbjx4+XJA0dOlTPP/98mzcK7SOWTGlLdYM+qqrXR1X12rDLCnLe3x1WPGk0Od/ncWlQz5COKguqvNin7sV+lRX5GteLfSov9qt7kbUsDXrldhPmAAAAAADQ2g4Y8MRiMe3Zs0dHHHGEqqqqZBhNf9BH4UikDG2tadCm6np9VNWgTVX19nq9tu+NyDSbf1+f7kU6/qhSHWe/jj+qmwYdUSIf3akAAAAAAGh3Bwx4fvjDH2rcuHEqLS1VOBzWzJkz89EutIJkytB/d9bpzS21enNzrd7etk9bahqUMppPcTxul/pWFOmYHiUa2LNEg3uFdPxRpRrSq1SlQWamAgAAAACgozpgwHPOOefoxRdfVE1NjSoqKrR58+Z8tAuHoSoc05uba/Xmlr16a0ut1mzbp0gilXWOy2VV4wzsWaJjehY7Yc4xPUvUr7xYfi8VOQAAAAAAFJoDBjxpFRUVkqQf/ehHeuKJJ9qsQWmrVq3SM888o1mzZjW73dXV1Mf1we6w/rtzvxPqNDfo8TE9inVq/3KdMqBcp/Trrs8cGVLQ52mHFgMAAAAAgLZy0AFPmtnSIC2taPPmzXr33XcVi8Wa3e4qTNPUnrqY3t8d1ge7w3p/d53e32WtV9fHm5xf5PPos/3KdGr/civU6d9dPUKBdmg5AAAAAADIp0MOeNpiSuuFCxdq1apVkqThw4fr+uuv19VXX62bbrpJkjRgwICs7c5sa02D5r/yoTV71a467Y8mmz2v2O/R4CND+syRpRrer0yn9C/X8UeVysugxwAAAAAAdDktBjw33nhjkzDHNE1t3bq11RsxYcIETZgwodWvW4iW/merHntji7PdLejV4F6ldpgTctZ7lwXbJGwDAAAAAACFp8WAZ9y4cYe0vyVvv/227r//fi1atEiGYWj69OnasGGD/H6/7r77bg0YMODQWtzJTTxnoI7pUaKjyoIafGRIR5QGCHIAAAAAAMAncpltOKjOww8/rOXLl6uoqEhLly7VihUr9NJLL2n27NmqrKzUggULNH/+/Fa9Z2VlpQIBxp1B+4hGowoGg+3dDKBL4bkD8o/nDsg/njsg/zrqczd06NBm9x/yGDyHon///po3b55uueUWSdLq1as1YsQISdZYO2vXrm31ewYCgRY/LNDW1q9fz/cfkGc8d0D+8dwB+cdzB+RfoT13bToi7+jRo+X1NmZI4XBYoVDI2fZ4PEommx9EGAAAAAAAAAcnr1MuhUIh1dfXO9uGYWQFQAAAAAAAADh0eQ14Tj31VL366quSrLFyhgwZks/bAwAAAAAAdEp5LZ8ZNWqUVq5cqXHjxsk0Td1zzz35vD0AAAAAAECn1OYBT9++fbV06VJJktvt1owZM9r6lgAAAAAAAF1KXrtoAQAAAAAAoPUR8AAAAAAAABQ4Ah4AAAAAAIACR8ADAAAAAABQ4Ah4AAAAAAAAChwBDwAAAAAAQIEj4AEAAAAAAChw3vZuQD4kEglt27ZN0Wi0vZvSaQWDQfXt21c+n6+9mwIAAAAAQJfTJQKebdu2qbS0VMccc4xcLld7N6fTMU1T1dXV2rZtmwYOHNjezQEAAAAAoMvpEl20otGoevToQbjTRlwul3r06EGFFAAAAAAA7aRLBDySCHfaGF9fAAAAAADaT5cJeAAAAAAAADqrLjEGT3ubPXu21q1bpz179igajapfv34qLy/Xgw8+eMD3PvTQQzrrrLN08sknH/DckSNHqnfv3nK73UqlUmpoaNDMmTN10kknafz48aqqqtJf//pX5/wVK1boBz/4gV588UUdffTRmjNnjt577z253W75fD7ddttt6tevn8aPH69IJKKioiLnvVdffbXOP//8w/p6AAAAAACA1kXAkwfTpk2TJC1btkwbN27UTTfddNDv/e53v3tI93rkkUcUCAQkSa+99pp+8YtfaMGCBc7x9evXa+jQoZKkZ599Vn369HHO3b17t373u99Jkl544QXdc889mj9/viRpzpw5OvbYYw+pLQAAAAAAID86ZMCzatUqPfPMM5o1a5Ykqbq6Wtdcc42WLVv2qa/9nd/9Sy9v2POpr5Ppi8cdod9954xDft+0adO0d+9e7d27V/Pnz9f999+vnTt3qra2Vueee66mTJmiadOmacyYMaqqqtIrr7yiaDSqLVu26JprrtHYsWM/8foff/yxunXr5mxffPHFeuaZZzR06FDt379fsVhMPXv2lCQdddRRWrt2rZ577jmdddZZuuCCC3Tuuece8mcCAAAAAAD51+HG4Nm8ebPeffddxWIxSdYU3L/5zW+cSpPO5qyzztKSJUtUX1+v4cOH67e//a0WL16sxYsXNzk3HA5rwYIFmj9/vh566KFmrzdx4kRdeeWVOvfcc7VmzRpNnTrVOTZy5Ei9+uqrMk1Tzz//vC688ELn2HHHHaeZM2fqhRde0CWXXKIrrrhClZWVzvGpU6dq/PjxzqumpqYVvwoAAAAAAODTaPcKnoULF2rVqlWSpOHDh+v666/X1Vdf7XRjWrx4sS699FI98sgjrXK/w6m0aUsDBw6UJHXv3l3vvPOOXn/9dYVCIcXj8SbnHn/88ZKk3r17N3tcauyiNXfuXG3btk09evRwjgUCAQ0dOlRvvfWW/u///k8//elP9dhjj0mS/vvf/2rgwIGaO3euTNPUypUrNWXKFK1cuVISXbQAAAAAAOjI2r2CZ8KECVqwYIEWLFig66+/vsnxf/7zn1qyZIneeeedrAGCO4v09OLLli1TaWmpHnjgAU2cOFHRaFSmaTZ77sGYMmWKdu/e7QQ4aZdccok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\n",
      "text/plain": [
       "<Figure size 1152x648 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=3, sharey=True, figsize=(16, 9))\n",
    "for i, model in enumerate(models.keys()):\n",
    "    result.loc[model, ['Train RMSE', 'Test RMSE']].plot(ax=axes[i], title=f'Model: {model}', logy=True, lw=2)\n",
    "    axes[i].set_ylabel('Log RMSE')\n",
    "\n",
    "fig.suptitle('Learning Curves', fontsize=16)\n",
    "fig.tight_layout()\n",
    "sns.despine()\n",
    "fig.subplots_adjust(top=.92);"
   ]
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   "execution_count": null,
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   "outputs": [],
   "source": []
  }
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